# bib

id: ma-28
author: Khafagy, Salah A.; Serag, Hassan M.
date: 2022
pages: 8
extension: .pdf
mime: application/pdf
words: 2429
sentence: 161
flesch: 66
cache: cache/ma-28.pdf
txt: txt/ma-28.txt
title:
  Stability of Positive Weak Solution for Generalized Weighted p-Fisher-Kolmogoroff Nonlinear Stationary-State Problem

summary:
  In the present paper, we investigate the stability results of positive weak solution for thegeneralized Fisher–Kolmogoroff nonlinear stationary-state problem involving weighted p-Laplacianoperator −d∆P,pu = ka(x)u[ν − υu] in Ω, Bu = 0 on ∂Ω, where ∆P,p with p > 1 and P = P (x)is a weight function, denotes the weighted p-Laplacian defined by ∆P,pu ≡ div In this paper we study the stability results of positive weak solution for the generalized weighted p-Fisher–Kolmogoroff nonlinear stationary-state problem −d∆P,pu = ka(x)f (u) = ka(x)u[ν − υu] in Ω, Bu = 0 on ∂Ω, } (1.1) where ∆P,p with p > 1 and P = P (x) is a weight function, denotes the weighted p-Laplaciandefined by ∆P,pu ≡ div [P (x)|∇u|p−2∇u] (see for details [6]), the continuous function a(x) :


id: ma-77
author: Lasode, Ayotunde Olajide; Opoola, Timothy Oloyede
title: Some Investigations on a Class of Analytic and Univalent Functions Involving q-Differentiation
date: 2022
pages: 9
extension: .pdf
mime: application/pdf
words: 2782
sentence: 245
flesch: 85
cache: cache/ma-77.pdf
txt: txt/ma-77.txt
summary:
  Analytic functions; Carathéodory functions; univalent functions; bounded turning function;coefficient bound; inclusion property and q-calculus. that f ∈ BTare univalent functions.


id: ma-61
author: Shamshad Husain; Asad, Mohd
title: Solving Equilibrium Problem and Fixed Point Problem by Normal S-iteration Process in Hilbert Space
date: 2022
pages: 10
extension: .pdf
mime: application/pdf
words: 3196
sentence: 201
flesch: 79
cache: cache/ma-61.pdf
txt: txt/ma-61.txt
summary:
  ‖xn − p‖2 − ‖xn − yn‖2 } , ≤ ‖xn − p‖2 − ‖xn − yn‖2. − p‖2 − αn(1− αn)‖yn − Tyn‖2, ≤ ‖yn − p‖2 − αn(1− αn)‖yn − Tyn‖2, ≤ ‖xn − p‖2 − ‖xn − yn‖2 − αn(1− αn)‖yn − Tyn‖2, and so, αn(1− αn)‖yn − Tyn‖2 ≤ ‖xn − p‖2 − ‖xn+1 − p‖2 − ‖xn − yn‖2, ≤ ‖xn − xn+1‖(‖xn − p‖+ ‖xn+1


id: ma-91
author: Azizi, Sepideh; Azizi, Tahmineh
title: The Fractal Nature of Drought: Power Laws and Fractal Complexity of Arizona Drought
date: 2022
pages: 13
extension: .pdf
mime: application/pdf
words: 3544
sentence: 233
flesch: 49
cache: cache/ma-91.pdf
txt: txt/ma-91.txt
summary:
  In figure (7), we can see the fitted least squares approximation to the logarithm of powerspectral density of Arizona drought database. Moreover, we have plotted the scaling exponent graphs for Arizona drought database in figure (8).


id: ma-58
author: Rossafi, Mohamed; El Jazzar, Roumaissae; Kacha, Ali
title: ∗-K-Operator Frame for Hom∗A(X)
date: 2021
pages: 10
extension: .pdf
mime: application/pdf
words: 3814
sentence: 235
flesch: 80
cache: cache/ma-58.pdf
txt: txt/ma-58.txt
summary:
  Then by the uniqueness of frame operator, the last expression is equal to ST⊗P (ξ⊗η). = sup {p̄Y(T (x)) : ξ ∈ X , p̄X (ξ) 6 1}It’s clear to see that, p̂(T ) 6 ‖T‖∞ for all p ∈ S(A).


id: ma-86
author: Bishwal, Jaya P. N.
title: Quasi-likelihood Estimation in Fractional Levy SPDEs from Poisson Sampling
date: 2022
pages: 14
extension: .pdf
mime: application/pdf
words: 5177
sentence: 354
flesch: 67
cache: cache/ma-86.pdf
txt: txt/ma-86.txt
summary:
  Continuoustime long memory jump process is fractional Levy process. Hence fractional Levy process can alsobe called the Kolmogorov-Levy process.


id: ma-51
author: Agwu, lmo; Igbokwe, Donatus Ikechi
date: 2022
pages: 13
extension: .pdf
mime: application/pdf
words: 4628
sentence: 306
flesch: 81
cache: cache/ma-51.pdf
txt: txt/ma-51.txt
title:
  Weak and Strong Convergence Theorems of Modified Projection-Type Ishikawa Iteration Scheme for Lipschitz α-Hemicontractive Mappings

summary:
  δn)(1− γn)‖xn − αq‖2 + γnL 2‖yn − αq‖2 − δnγnL2‖yn − αq‖2 −(γn − δnγn − γ2n)[(1 + L)‖xn − αq‖2 + L(1 + L)‖yn − αq‖2]− δn(1− δn)‖xn − αq‖2 = (1− − αq‖2 − ‖xn − αq‖2 + (1− γn − γnL)β2nγnL‖xn − Txn‖2 ≤ δnB. (3.22)


id: ma-53
author: Argyros, Ioannis K.; George, Santhosh ; Argyros, Christopher I.
title: On the Ostrowski Method for Solving Equations
date: 2021
pages: 17
extension: .pdf
mime: application/pdf
words: 5305
sentence: 395
flesch: 83
cache: cache/ma-53.pdf
txt: txt/ma-53.txt
summary:
  For each x, y ∈ Ω0 ‖F ′(x0)−1(F ′(y)− F ′(x))‖ ≤ K‖y − x‖, ‖F ′(x0)−1([y , x ;F ]− F ′(x0))‖ ≤ K1(‖y ′(x∗)−1(A0 − F ′(y0))‖‖A−10 F ′(x∗)‖‖F ′(x∗)−1F (y0)‖ ≤ L‖y0 − x∗‖2 2(1− L0‖x0 − x∗‖ + (L2 + L3)‖y0 − x0‖L4‖y0 − x∗‖ (1− L0‖y0 − x∗‖)(1− p(‖x0 − x∗‖)) ≤ ϕ2(‖x0 − x∗‖)‖x0 − x∗‖ ≤ ‖x0 − x∗‖ < r, so x1 ∈ U(x∗, r), where we also used ‖F ′(x∗)−1(A0 − F ′(y0))‖ ≤ ‖F ′(x∗)−1([y0, x0;F ]− F ′(x0))‖ +‖F ′(x∗)−1([y0, x0;F ]− F ′(y0))‖ ≤ (L2 + L3)‖y0 − x0‖ ≤ (L2 + L3)(‖y0 − x∗‖+ ‖x0 − x∗‖) ≤ (L2 + L3)(1 + ϕ1(‖x0 − x∗‖))‖x0 − x∗‖, and ‖F ′(x∗)−1F (y0)‖ = ‖ ∫ 1 0 F ′(x∗)


id: ma-60
author: Bishwal, Jaya P. N.
title: On the Stratonovich Estimator for the Itô Diffusion
date: 2022
pages: 13
extension: .pdf
mime: application/pdf
words: 4022
sentence: 247
flesch: 72
cache: cache/ma-60.pdf
txt: txt/ma-60.txt
summary:
  10.28924/ada/ma.2.7 2model was first studied by Dorogovcev (1976) who obtained weak consistency of the conditionalleast squares estimator (CLSE) under some regularity conditions as T →∞ and T n → 0. Kasonga(1988) and the resulting minimum contrast estimator, called the Euler estimator, is θ̌n,T := arg min θ∈Θ Hn,T (θ) Florens-Zmirou (1989) showed L2 consistency of the estimator as T →∞ and T n → 0.If continuous observation of {Xt} on the interval


id: ma-117
author: Badibi, O. C.; Ramadhani, I.; Ndondo, M. A.; Kumwimba, S. D.
title: Numerical Stabilities of Vasicek and Geometric Brownian Motion Models
date: 2023
pages: 22
extension: .pdf
mime: application/pdf
words: 6074
sentence: 371
flesch: 75
cache: cache/ma-117.pdf
txt: txt/ma-117.txt
summary:
  In this article we establish and prove the conditions of numerical schemes stabilities in Mean andMean-square. Stochastic numerical schemes.


id: ma-44
author: Beddani, Hamid; Beddani, Moustafa; Dahmani, Zoubir
date: 2021
pages: 18
extension: .pdf
mime: application/pdf
words: 5739
sentence: 293
flesch: 80
cache: cache/ma-44.pdf
txt: txt/ma-44.txt
title:
  Nonlinear Differential Problem with p-Laplacian and via Phi-Hilfer Approach: Solvability and Stability Analysis

summary:
  Prime value problems involving fractional Hilfer derivatives have been studiedby several authors, see [9,10,26]. https://doi.org/10.1016/j.camwa.2012.01.009.[10] H. Gu and J. J. Trujillo, Existence of mild solution for evolution equation with Hilfer fractional derivative, Appl.


id: ma-63
author: Rossafi, Mohamed; Kari, Abdelkarim; Massit, Hafida
date: 2022
pages: 8
extension: .pdf
mime: application/pdf
words: 2810
sentence: 204
flesch: 82
cache: cache/ma-63.pdf
txt: txt/ma-63.txt
title:
  On the α−ψ−Contractive Mappings in C∗-Algebra Valued b-Rectangular Metric Spaces and Fixed Point Theorems

summary:
  � y if and only if y − x � θwhere θ means the zero element in A. we denote the set x ∈ A : x This is clear that T is α− ψ− contractive mapping and satisfies α(x, y)d(Tx, T y) � ψ(d(x, y)), for all x, y ∈ X Theorem 3.4.


id: ma-24
author: Owuor Owino, Joseph ; Okelo, Benard
title: Lie Group Analysis of a Nonlinear Coupled System of Korteweg-de Vries Equations
date: 2021
pages: 18
extension: .pdf
mime: application/pdf
words: 5480
sentence: 355
flesch: 79
cache: cache/ma-24.pdf
txt: txt/ma-24.txt
summary:
  One can easily see that if λ = − 12β α , and µ = 0, (72) then ϕ = − 12β αx2 , ψ = 0, (73) which is a solution of the system (61)-(62). Taking λ = − 6β α (75) gives µ = ± 6βi α , (76) with i2 = −1.


id: ma-66
author: Asghar, Ali; Qayyum, Ather; Muhammad, Noor
title: Different Types of Topological Structures by Graphs
date: 2022
pages: 12
extension: .pdf
mime: application/pdf
words: 2481
sentence: 154
flesch: 74
cache: cache/ma-66.pdf
txt: txt/ma-66.txt
summary:
  Consider that G be simple graph, R = {((degG (u)u , degG (w)w )) ; u, w ∈ V }if l = 0 than R = {(lu)u , (mw )w , u, w ∈ W}if m = 1 and l = 0 than R = {(lu, lw ) u, w ∈ VConsider G is directed along with simple than R = {(lu, lw ) = (U,W ) u, w ∈ V } while if G is undirected than R = {(lu, lw )


id: ma-20
author: Adam, Adam; Gunawan, Hendra
title: On Geometric Constants for Discrete Morrey Spaces
date: 2021
pages: 10
extension: .pdf
mime: application/pdf
words: 3422
sentence: 211
flesch: 91
cache: cache/ma-20.pdf
txt: txt/ma-20.txt
summary:
  Note, in particular, that for p = q, we have `pq = `q .From [6] is defined by C (n) NJ (X) := sup {∑ ± ‖u1 ± u2 ± · · · ± un‖2X 2n−1 ∑n i=1 ‖ui‖X : ui 6= 0, i = 1, 2, . .


id: ma-27
author: Ofem, Austine Efut; Udofia, Unwana Effiong; Igbokwe, Donatus Ikechi
date: 2021
pages: 27
extension: .pdf
mime: application/pdf
words: 8870
sentence: 539
flesch: 76
cache: cache/ma-27.pdf
txt: txt/ma-27.txt
title:
  New Iterative Algorithm for Solving Constrained Convex Minimization Problem and Split Feasibility Problem

summary:
  − z‖ = x. (4.7) Again, using (1.7), we get ‖`s+1 − z‖ = ‖Tζs − z‖ ≤ ‖ζs − z‖ = ‖Tws − z‖ ≤ ‖ws − z‖ = ‖(1− δs)T`s + δsTgs − z‖ ≤ (1− δs)‖T`s − z‖+ δs‖Tgs − z‖ ≤ (1− δs)‖`s − z‖+ δs‖gs − z‖ = ‖`s − z‖ − δs‖`s − z‖+ δs‖gs − z‖. (4.8) From (4.8), we have ‖`s+1 − z‖ − ‖`s − z‖ δs ≤ ‖gs − z‖ − ‖`s − z‖. (4.9) − z‖ ≤ γ(1− δs)‖`s − z‖+ γδs(1− (1− γ)βs)‖`s − z‖ = γ(1− (1− γ)δsβs)‖`s − z‖. (3.2) From (1.7) and (3.2), we obtain ‖ζs − z‖ = ‖Tws − z‖ ≤ γ‖ws − z‖ ≤ γ2(1− (1− γ)δsβs)‖`s − z‖. (3.3) Using (1.7) and (3.3), we have ‖`s+1 − z‖ = ‖Tζs − z‖ ≤ γ‖ζs − z‖ ≤ γ3(1− (1− γ)δsβs)‖`s − z‖. (3.4) From (3.4), we have the following inequalities: ‖`s+1 − z‖ ≤ γ3(1− (1− γ)δsβs)‖`s − z‖ ≤ γ3(1− (1− γ)δs−1βs−1)‖`s−1 − z‖... ‖`1


id: ma-99
author: Bishwal, Jaya P. N.
title: Parameter Estimation for SPDEs Driven by Cylindrical Stable Processes
date: 2022
pages: 25
extension: .pdf
mime: application/pdf
words: 9211
sentence: 579
flesch: 71
cache: cache/ma-99.pdf
txt: txt/ma-99.txt
summary:
  as T →∞.c) T (α−1)/α2 (θ̂k,T − θ)→D ( σ2 k ν2 k )1/α S4 S3 as T →∞ where S4 and S3 are independent stable random variables.d) If in addition, lim k→∞ ∣∣∣∣σkνk ∣∣∣∣ = 0, then for every fixed T > 0, θ̂k,T → θ a.s. as k →∞and ∣∣∣∣νkσk ∣∣∣∣ (θ̂k,T − θ)→D ( T (α−1)/α2 )1/α S4 S3 as k →∞. Remark: The parabolicity condition and the MLE consistency condition in general are notconnected.


id: ma-10
author: Mendy, Sang B; Mendy, John T; Jobe, Alieu
title: The Generalized Viscosity Implicit Rules of Asymptotically Nonexpansive Mappings in Hilbert Spaces
date: 2021
pages: 15
extension: .pdf
mime: application/pdf
words: 4691
sentence: 247
flesch: 77
cache: cache/ma-10.pdf
txt: txt/ma-10.txt
summary:
  + βn(ψ(q)− q) + αn(un − q), un+1 − q〉 ≤ (1− βn)2‖vn − q‖2 + 2βn‖ψ(xn)− ψ(q)‖‖un+1 − q‖+ 2αn‖un − q‖‖un+1 − q‖ +2βn〈ψ(q)− q, un+1 − q〉 ≤ (1− βn)2‖vn − q‖2 + 2βnα‖un − q‖‖un+1 − q‖+ 2αn‖un − q‖‖un+1 − q‖ +2βn〈ψ(q)− q, un+1 − q〉 ≤ (1− βn)2‖vn − q‖2 + (2βnα+ 2αn)‖un − q‖‖un+1 − q‖+ 2βn〈ψ(q)− q, un+1 − q〉 ≤ γ2ns 2 nk 2 n‖un − q‖2 + γ2n(1− sn)2k2n‖un+1 − q‖2 + [ γ2nsn(1− sn)k2n + 2(βnα+ αn) ] ‖un − q‖‖un+1 − q‖ +2βn〈ψ(q)− q, un+1 − q〉 (3.19) Eur. J. Math.


id: ma-100
author: Azizi, Tahmineh
title: Analysis of Neuronal Oscillations of Fractional-Order Morris-Lecar Model
date: 2022
pages: 27
extension: .pdf
mime: application/pdf
words: 5672
sentence: 371
flesch: 50
cache: cache/ma-100.pdf
txt: txt/ma-100.txt
summary:
  Figures (10)-(14),demonstrate the appearance and disappearance of saddle-homoclinic bifurcation in the model (13)with increasing the applied current Iapp = 23, 40, 50, 60, 70 like the original model (6) but liketwo previous bifurcations, for fractional order model of orders η = 0.3, .0.5, 0.7, 0.9 the neuronneeds higher input current Iapp to bifurcate. Because the solutions of fractional Morris Lecar model (FML) may not be explicitly obtained, weuse numerical methods to approximate the solutions of this model.


id: ma-64
author: Hossan, Md. Shorif; Islam, Md. Shafiqul; Kamrujjaman, Md.
title: Efficient Numerical Schemes for Computations of European Options with Transaction Costs
date: 2022
pages: 20
extension: .pdf
mime: application/pdf
words: 6988
sentence: 432
flesch: 69
cache: cache/ma-64.pdf
txt: txt/ma-64.txt
summary:
  J. Monique, Y. Marc, C. March, Mathematical methods for financial markets, Springer Science & Business Media,2009.[4] J. R. Buchanan, An undergraduate introduction to financial mathematics, 3rd ed., World Scientific Publishing Com-pany, 2012.[5] A. Yves, P. Olivier, Computational methods for option pricing, Society for Industrial and Applied Mathematics, 2005.[6] J. Guyon, P. Henry-Labordere, Nonlinear option pricing, CRC Press, 2014.[7] F. Black, M. Scholes, The pricing of options and corporate liabilities, J. Polit. nonlinear Black-Scholes PDE; option pricing; volatility model; finite volume method; finitedifference method.


id: ma-115
author: Waphare, B. B.; Shaikh, R. Z.
title: Fractionalization of Hankel Type Integral Transforms and Their Relevance
date: 2022
pages: 18
extension: .pdf
mime: application/pdf
words: 6471
sentence: 375
flesch: 68
cache: cache/ma-115.pdf
txt: txt/ma-115.txt
summary:
  In this paper, the fractionalization of certain types of Hankel transforms is suggested. Introduction The theory of Hankel transforms is very vast and it is studied by many researchers in recent aswell as in past.


id: ma-9
author: Ravikumar, K.; Ramkumar, K.; Chalishajar, Dimplekumar
date: 2021
pages: 18
extension: .pdf
mime: application/pdf
words: 6576
sentence: 405
flesch: 82
cache: cache/ma-9.pdf
txt: txt/ma-9.txt
title:
  Existence and Stability Results for Second-Order Neutral Stochastic Differential Equations With Random Impulses and Poisson Jumps

summary:
  Similarly, for all t ∈ [tk, tk−1). x(t) = k∏ i=1 biC(t)u0 + k∏ i=1 biS(t)v0 + k∑ i=1 k∏ j=i bj ∫ ti ti−1 S(t − s)f(s)ds+ ∫ t ξk S(t − s)f(s)ds. − t0)∥∥∥∥φ − h(0, φ)∥∥ ]I[ξk ,ξk+1)(t)]2 Eur. J. Math.


id: ma-14
author: Salamooni, Ahmad Y. A.; Pawar, D. D.
title: Katugampola Fractional Calculus With Generalized k−Wright Function
date: 2021
pages: 11
extension: .pdf
mime: application/pdf
words: 3612
sentence: 206
flesch: 82
cache: cache/ma-14.pdf
txt: txt/ma-14.txt
summary:
  = ( s1−ρ d ds )n( ρ In−γ0+ τα−1 ) (s) = ργ−nΓ(1 + α−1 ρ ) Γ(1 + α−1 ρ + n − γ) ( s1−ρ d ds )n sρ(n−γ)+α−1 = ργ−nΓ(1 + α−1 ρ ) Γ(1 + α−1 ρ − γ) s(α−1)−ργ . If α ∈ C, then (ρI γ −τ α−1)(s) = ρ−γΓ( 1−α ρ − γ) Γ( 1−α ρ ) sργ+(α−1) (R(γ) ≥ 0; R(γ + α) < 1) (2.3) (ρD γ −τ α−1)(s) = ργ−nΓ( 1−α ρ + γ) Γ( 1−α ρ ) s(α−1)−ργ (R(γ) = 0; R(γ + α− [R(γ)]) < 1).


id: ma-50
author: Agwu, Imo Kalu; Igbokwe, Donatus Ikechi
title: Convergence and Stability of New Approximation Algorithms for Certain Contractive-Type Mappings
date: 2021
pages: 38
extension: .pdf
mime: application/pdf
words: 12927
sentence: 440
flesch: 82
cache: cache/ma-50.pdf
txt: txt/ma-50.txt
summary:
  × ( α `s−1 n,1 + `s∑ j=2 α `s−1 n,j j−1∏ i=1 (1− α`s−1n,i ) + `s∏ i=1 (1− α`s−1n,i ) ) Putting (4.8) in (4.7), we obtain, using Lemma 2.3 that the sequence {tn}∞n=0 converges strongly tothe point q in F (Γ).On the other hand, suppose tn → q as n → ∞. Then, we show that ε → 0 as n → ∞. Indeed,from (3.5) with v1n = y1n , (4.2) and Proposition 2.4 with u = q, v1n = t, j = i , k = 1,Γj−1v1n = vj−1and Γ`1v1n = v „ we have εn = ‖tn+1 − δn,1v1n,1 − `1∑ j=2 δn,j j−1∏ i=1 (1− δn,i)Γj−1v1n − `1∏ i=1 (1− δn,i)Γ`1v1n ‖2 = ‖tn+1 − q − δn,1v1n,1 + `1∑ j=2 δn,j j−1∏ i=1 (1− δn,i)Γj−1v1n + `1∏ i=1 (1− δn,i)Γ`1v1n − q  ‖2 ≤ ‖tn+1 − q‖2 + ‖δn,1v1n,1 + `1∑ j=2 δn,j j−1∏ i=1 (1− δn,i)Γj−1v1n + `1∏ i=1 (1− δn,i)Γ`1v1n − q‖2 ≤ ‖tn+1 − q‖2 + δn,1‖v1n,1 − q‖2 + `1∑ j=2 δn,j j−1∏ i=1 (1− δn,i)‖Γj−1v1n − Γj−1q‖2 + `1∏ i=1 (1− δn,i)‖Γ`1v1n − Γ`1q‖2 ≤ ‖tn+1 − q‖2 + δn,1‖v1n,1 − q‖2 + `1∑ j=2 δn,j j−1∏ i=1 (1− δn,i)(ρj)2‖v1n − q‖2 + `1∏ i=1 (1− δn,i)(ρj)2‖v1n − q‖2 https://doi.org/10.28924/ada/ma.2.1 Eur. − q‖2 ≤ δn,1‖xn − q‖2 + `1∑ j=2 δn,j(ρ j)2 j−1∏ i=1 (1− δn,i)‖y1n − q‖2 + `1∏ i=1 (1− δn,i)(ρj)2‖y1n − q‖2 = δn,1‖xn − q‖2 + ( 1− δ1n,1 − `1∏ i=1 (1− δn,i)(ρj)2 ) ‖y1n − q‖2 + `1∏ i=1 (1− δn,i)(ρj)2‖y1n − q‖2 = δn,1‖xn − q‖2 + ( 1− δ1n,1 ) ‖y1n − q‖2 (3.6) Since `1, `k are fixed integers and αsn,i ∈


id: ma-88
author: Zhou, Chuanjiang; Liu, Qi; Li, Yongjin
title: A New Approximate Birkhoff Orthogonality Type
date: 2022
pages: 14
extension: .pdf
mime: application/pdf
words: 5357
sentence: 368
flesch: 83
cache: cache/ma-88.pdf
txt: txt/ma-88.txt
summary:
  y‖ − ‖ax‖ − (‖x − ax − y‖+ ‖ax‖) ≤ ‖x + ax + y − ax‖ − ‖x − ax − y + ax‖, and ‖x + ax + y − ax‖ − ‖x − ax − y + ax‖ ≤ ‖x + ax + y‖+ ‖ax‖ − (‖x − ax − y‖ − ‖ax‖). y‖ = ‖x − ax − y‖, then |‖x + y‖ − ‖x − y‖| = |‖x + ax + y − ax‖ − ‖x − ax − y + ax‖|.


id: ma-199
author: Jahan, Shah; Johnson, P. Sam
title: Frame Operators for Frames in Krein Spaces
date: 2024
pages: 10
extension: .pdf
mime: application/pdf
words: 4132
sentence: 248
flesch: 78
cache: cache/ma-199.pdf
txt: txt/ma-199.txt
summary:
  Krein space; Bessel sequence; frame sequence; frame operator.1 https://adac.ee https://doi.org/10.28924/ada/ma.4.1 https://orcid.org/0000-0002-5966-9185 https://orcid.org/0000-0003-3461-5380 Eur. Motivated by the equivalentdefinition of frame as given in (1), in this paper, we propose an alternative way of looking at thenotion of frames in Krein spaces by decomposing the index set I in a natural way and obtain somenew results on frames sequences.


id: ma-11
author: Sahir, Muhammad Jibril Shahab
title: Coordination of Classical and Dynamic Inequalities Complying on Time Scales
date: 2023
pages: 11
extension: .pdf
mime: application/pdf
words: 4189
sentence: 332
flesch: 83
cache: cache/ma-11.pdf
txt: txt/ma-11.txt
summary:
  We explore dynamic inequalities on delta calcu-lus and their symmetric nabla versions. Thishybrid theory is also widely applied on dynamic inequalities.


id: ma-142
author: Bishwal, Jaya P. N.
date: 2023
pages: 17
extension: .pdf
mime: application/pdf
words: 5508
sentence: 335
flesch: 84
cache: cache/ma-142.pdf
txt: txt/ma-142.txt
title:
  On the Kolmogorov Distance for the Least Squares Estimator in the Fractional Ornstein-Uhlenbeck Process

summary:
  IT − 2H ( T −σ2H θ̃T )1/2 σ2Hb0θx ⇒ 2H ( T −σ2H θ̃T )1/2 (θ̃T − θ)[IT − b0T (θT − θ)] > x IT − 2H ( T −σ2H θ̃T )1/2 2b0θx  ⇒ (θ̃T − θ)IT − b0T (θ̃T − θ)2 > ( −σ2Hθ 4TH2 )1/2 IT x − σ2Hb0θx2 ⇒ −NT + (θ̃T − θ)IT − b0T (θT − θ)2 > −NT + ( −σ2Hθ 4TH2 )1/2 IT x − σ2Hb0θx2 ⇒ 0 > −NT + ( −σ2Hθ 4TH2 )1/2 IT x − σ2Hb0θx2 since IT − b0T (θ̃T − θ) > Tc0 − b0T (θ̃T − θ) > 2σ2Hb0(logT )1/2 ( −σ2Hθ 4TH2 )1/2 − σ2Hb0(logT )1/2 ( −σ2Hθ 4TH2 )1/2 = σ2Hb0(logT )1/2 ( −σ2Hθ 4TH2 )1/2 > 0. [IT − ( T −σ2H θ̃T )1/2 σ2Hb0θx ] ⇒ (θ̂T − θ)IT − b0T (θ̂T − θ)2 > ( T −σ2H θ̃T )−1/2 IT x − σ2Hb0θx2 ⇒ −MT + (θ̂T − θ)IT − b0T (θ̂T − θ)2 > −MT + ( T −σ2H θ̃T )−1/2 IT x − σ2Hb0θx2 ⇒ 0 > −MT + ( −σ2H θ̃T T )1/2 IT x − σ2Hb0θx2 since IT − b0T (θ̂T − θ) > Tc0 − b0T (θ̂T − θ) > 2σ2Hb0(logT )1/2 ( −σ2H θ̃T T )1/2 − σ2Hb0(logT )1/2 ( −σ2H θ̃T T )1/2 = σ2Hb0(logT )1/2 ( −σ2H θ̃T T )1/2 > 0.


id: ma-170
author: Kumar, Sunil ; Sharma, Janak Raj ; Argyros, Ioannis K.; Regmi, Samundra
title: Seventh Order Derivative-Free Methods for Non-differentiable Operator Equations
date: 2023
pages: 15
extension: .pdf
mime: application/pdf
words: 4963
sentence: 335
flesch: 80
cache: cache/ma-170.pdf
txt: txt/ma-170.txt
summary:
  Consequently, we have ‖xn+1 − zn‖ ≤ β̄n(1 + w0(‖yn − x0‖, ‖zn − x0‖))‖zn − yn‖ 1− w0(f1(‖xn = (I + L+ LL−1([xn, x ∗;F ]− L))(xn − x∗), so ‖un − x∗‖ ≤ ( ‖I + L‖+ (‖L‖w(‖(xn − x∗)‖)) ) ‖(xn − x∗)‖.Thus, we can choose f1(t)


id: ma-25
author: Saidani, Mansouria; Belaidi, Benharrat
date: 2021
pages: 20
extension: .pdf
mime: application/pdf
words: 8488
sentence: 461
flesch: 82
cache: cache/ma-25.pdf
txt: txt/ma-25.txt
title:
  Some Properties on The [p,q]-Order of Meromorphic Solutions of Homogeneous and Non-homogeneous Linear Differential Equations With Meromorphic Coefficients

summary:
  First, we will prove that f must be a polynomialwith deg f ≤ s − 1. = µp (f ) is the iterated lower p-order, λ[p,1] (f − a) = λp (f , a)(or λ[p,1] (f − a) = λp (f , a)) is the iterated convergence exponent of the sequence of distinct a-points (or of a-points), λ[p,1] (1f ) = λp ( 1 f ) is the iterated exponent of convergence of the poles, see [7] , [11] ,


id: ma-12
author: Agwu, Imo Kalu; Igbokwe, Donatus Ikechi; Ukeje, Nathenial C.
date: 2021
pages: 23
extension: .pdf
mime: application/pdf
words: 8110
sentence: 473
flesch: 85
cache: cache/ma-12.pdf
txt: txt/ma-12.txt
title:
  Convergence of a Three-step Iteration Scheme to the Common Fixed Points of Mixed-Type Total Asymtotically Nonexpansive Mappings in Uniformly Convex Banach Spaces

summary:
  − u‖ − ‖xn+1 − Sn,mu‖) = ψ−1(‖(xn − u‖ − ‖xn+1 − u + u − Sn,mu‖) ≤ ψ−1(‖(xn − u‖ − (‖xn+1 − u‖+ ‖Sn,mu − u‖)), (3.58) so that the sequence {bn.m} converges uniformly to 0, i.e, bn,m → 0 as n →∞. Since limn→Bn = 1and limn→∞ bn,m = 0, it follows from (3.57) that lim supn→∞ an(t) ≤ lim infb→∞ bn.m ≤ lim infn→∞ ν (1) n ≤ ‖Sn2xn − T2(PT2)n−1zn‖+ ‖yn − xn‖+Mhn(‖zn − xn‖) +


id: ma-222
author: Ni, Qichuan; Liu, Qi; Zhou, Yin; Qian, Qin
title: The Constants to Measure the Differences Between Isosceles and α-β Orthogonalities
date: 2024
pages: 8
extension: .pdf
mime: application/pdf
words: 2905
sentence: 207
flesch: 84
cache: cache/ma-222.pdf
txt: txt/ma-222.txt
summary:
  We get ‖αx − βy‖ = 2β, ‖x − y‖ = ‖x − βy‖ = ‖αx − y‖ = 2. We get ‖αx − βy‖ = β, ‖x − y‖ = ‖x − βy‖ = ‖αx − y‖ = 1.


id: ma-105
author: Nangue, Alexis; Tchiffo, Bruno Nde
date: 2021
pages: 37
extension: .pdf
mime: application/pdf
words: 13710
sentence: 804
flesch: 75
cache: cache/ma-105.pdf
txt: txt/ma-105.txt
title:
  Global Analysis of a Spatiotemporal Cellular Model for the Transmission of Hepatitis C Virus With Hattaf-Yousfi Functional Response

summary:
  [ dH∗ + αI∗ − dH − (1− η)βHV (1 + α1H)(1 + α2V ) + ρI ] − I∗ I (1− η) (1+α1H ∗)(1+α2V ∗)(α+ρ)I∗ (1−η)H∗V ∗ HV (1 + α1H)(1 + α2V ) − (α+ ρ)I − (α+ ρ)I V ∗ V + (α+ ρ)µ (1− ε)k V ∗, = [ dH∗ + (α+ ρ)I∗ − ρI∗ − dH − αI − (α+ ρ)I∗ V V ∗ ] − [H∗ H 1 + α1H 1 + α1H∗ dH∗ + H∗ H 1 + α1H 1 + α1H∗ αI∗ − 1 + α1H 1 + α1H∗ dH∗ − V V ∗ 1 + α2V ∗ 1 + α2V (α+ ρ)I∗ + H∗ H 1 + α1H 1 + α1H∗ ρI ] + (α+ ρ)I∗ [ 1− HI∗V (1 + α1H ∗)(1 + α2V ∗) Then, the computation of the derivative of G2 with respect to t yields : dG2 dt = [ λ− dH − αI − (α+ ρ)µ (1− ε)k V ] − (α+ ρ)I∗ (1 + α1H)(1 + α2V ∗) (1− η)βHV ∗ [ λ− dH − (1− η)βHV (1 + α1H)(1 + α2V ) + ρI ] − I∗ I


id: ma-85
author: Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh ; Argyros, Christopher
title: On the Semi-Local Convergence of a Third Order Scheme for Solving Nonlinear Equations
date: 2022
pages: 14
extension: .pdf
mime: application/pdf
words: 4637
sentence: 328
flesch: 84
cache: cache/ma-85.pdf
txt: txt/ma-85.txt
summary:
  − F ′ ( xk + 3yk 4 ) ), (3.13) so ‖F ′(x0)−1 ∫ 1 0 (F ′(xk + θ(xk+1 − xk))dθ − 1 3 Mk)‖ ≤ K [ ‖xk+1 − xk‖ 2 + ‖yk − xk‖ 6 + ‖yk − xk‖ 4 + ‖yk − xk‖ 12 ] ≤ K( tk+1 − tk 2 + sk − tk 6 + sk − tk 4 + sk − tk 12 ) = ∫ 1 0 (F ′(xk + θ(xk+1 − xk))dθ − 1 3 Mk)(xk+1 − xk).


id: ma-134
author: Zhang, Dongwen; Rassias, John Michael; Liu, Qi; Li, Yongjin
title: A Note on the Stability of Functional Equations via a Celebrated Direct Method
date: 2022
pages: 19
extension: .pdf
mime: application/pdf
words: 7089
sentence: 399
flesch: 78
cache: cache/ma-134.pdf
txt: txt/ma-134.txt
summary:
  Furthermore, we continue to construct and study a couple of functional equations bymaking a new direct method. Introduction The core idea of the Hyers-Ulam stability for functional equations has been dated back to awell-known problem concerning about group homomorphisms solved by S.M. Ulam and D.H. Hyers(see


id: ma-219
author: Adeyemo, K. M.
date: 2024
pages: 9
extension: .pdf
mime: application/pdf
words: 3512
sentence: 197
flesch: 66
cache: cache/ma-219.pdf
txt: txt/ma-219.txt
title:
  Global Stability Analysis of Onchocerciasis Transmission Dynamics with Vigilant Compartment in Two Interacting Populations

summary:
  10.28924/ada/ma.4.9 2The case of onchocerciasis model presented in this paper incorporates a new class of humancompartment called vigilant individuals denoted by Vh(t, xi). + ( Ev − E∗∗v − E∗∗v ln Ev E∗∗v ) + αv + µv αv [ Iv − I∗∗v − I∗∗v ln Iv I∗∗v ] With Lyapunov time-derivative given as Ṁ = Ṡh(t, xi)− S∗∗h (xi) Sh(xi) Ṡh(t, xi) + Ėh(t, xi)− E∗∗h (xi) Eh(xi) Ėh(t, xi) + L∑ i=0 αh(xi) + µh(xi) αh(xi) ( İh(t, xi)− I∗∗h (xi) Ih(xi) İh(t, xi) ) + Ṡv − S∗∗v Sv Ṡv + Ėv − E∗∗v Ev Ėv + αv + µv αm ( İv − I∗∗v Iv İv ) (3.2) https://doi.org/10.28924/ada/ma.4.9 Eur. J. Math.


id: ma-166
author: Ahmad, Mukhtar; Hussain, Saddam; Parveen, Ulfat; Zahid, Iqra; Sultan, Muhammad; Qayyum, Ather
title: On Degree-Based Topological Indices of Petersen Subdivision Graph
date: 2023
pages: 18
extension: .pdf
mime: application/pdf
words: 5010
sentence: 487
flesch: 82
cache: cache/ma-166.pdf
txt: txt/ma-166.txt
summary:
  index topological index of the general form, ⇒ SDD(G) Now putting the values in generalconnectivity index topological index of the general form, ⇒ M1(G)


id: ma-154
author: Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh ; Argyros, Michael I.
date: 2023
pages: 9
extension: .pdf
mime: application/pdf
words: 2830
sentence: 182
flesch: 71
cache: cache/ma-154.pdf
txt: txt/ma-154.txt
title:
  Developments on the Convergence Analysis of Newton-Kantorovich Method for Solving Nonlinear Equations

summary:
  − xn‖ ≤ s∗ − sn, (2.19) where, limn−→∞ sn = s∗ = 1− √ 1−2H Kα and s∗∗ = 1+ √ 1−2H Kα . − tn (2.23) and 0 ≤ s∗ − sn ≤ t∗ − tn.


id: ma-227
author: Darya, Ali; Tagizadeh, Nasir
title: On the Dirichlet Boundary Value Problem for the Cauchy-Riemann Equations in the Half Disc
date: 2024
pages: 9
extension: .pdf
mime: application/pdf
words: 3078
sentence: 202
flesch: 74
cache: cache/ma-227.pdf
txt: txt/ma-227.txt
summary:
  = 1 2πi ∫ ∂M ω(t) dt t − z − 1 π ∫ M ωt̄(t) dξdη t − z . Many results have been obtained for boundary value problems of complex partial differentialequations in some particular domains, see, e.g. [1–16].


id: ma-125
author: Nhari, Fakhr-dine; Rossafi, Mohamed
title: Woven K-g-Fusion Frames in Hilbert C∗-Modules
date: 2023
pages: 11
extension: .pdf
mime: application/pdf
words: 4336
sentence: 307
flesch: 84
cache: cache/ma-125.pdf
txt: txt/ma-125.txt
summary:
  Assume that f ∈ H and {σi}i∈[m] ∈ J, so ∑ i∈[m] ∑ j∈σi v2 i j 〈Λi jPW̃i j f ,Λi jPW̃i j f 〉 = ∑ i∈[m] ∑ j∈σi v2 i j ∑ k∈Ii j 〈Λi jPW̃i j f , f (k) i j 〈Λi jPWi j fn,Λi jPWi j fn〉 < 1 n 〈K∗fn, K∗f1〉, where, Kn = ∪i≥kn+1Jj .


id: ma-179
author: Bishwal, Jaya P. N.
date: 2023
pages: 17
extension: .pdf
mime: application/pdf
words: 5560
sentence: 317
flesch: 80
cache: cache/ma-179.pdf
txt: txt/ma-179.txt
title:
  On the Kolmogorov Distance for the Maximum Likelihood Estimator in the Explosive Ornstein-Uhlenbeck Process

summary:
  10.28924/ada/ma.3.25 4 i.e., e−2θT IT D→ ξ2 2θ as T →∞.It can be shown that e−2θT IT → ξ2 2θ almost surely as T →∞. (1.18)By Itô formula, we have ZT = ∫ T 0 XsdWs = ∫ T 0 eθsξsdWs = ∫ T 0 ξsdηs = ξTηT − T − ∫ T 0 ηsdξs = ξTηT − T − ∫ T 0 ηse −θsdWs . − ξ)2 → 0 as T →∞, (2.21) E(ξt − ξs)2 ≤ C(t − s).


id: ma-160
author: Akugre, Thomas Awinba; Nantomah, Kwara; Iddrisu, Mohammed Muniru
title: On Certain Properties of a Degenerate Sigmoid Function
date: 2023
pages: 10
extension: .pdf
mime: application/pdf
words: 2999
sentence: 235
flesch: 77
cache: cache/ma-160.pdf
txt: txt/ma-160.txt
summary:
  The sigmoid function, also known in the literature as the Sigmoidal curve or standardlogistic function is defined as (see [13]), S (t) = et 1 + et = 1 1 + e−t , t ∈ (−∞,∞) , (1) = 1 2 + 1 2 tanh ( t 2 ) , t ∈ (−∞,∞) . The degenerate sigmoid function is defined for λ ∈ (0,∞) and t ∈ (−∞,∞) as Sλ (t) = (1 + λt) 1 λ 1 + (1 + λt) 1 λ (6)


id: ma-17
author: Argyros, Ioannis K.
title: Unified Convergence Analysis of Two-Step Iterative Methods for Solving Equations
date: 2021
pages: 18
extension: .pdf
mime: application/pdf
words: 5638
sentence: 402
flesch: 79
cache: cache/ma-17.pdf
txt: txt/ma-17.txt
summary:
  − x∗‖)‖xm − x∗‖ ≤ ‖xm − x∗‖ < R (4.10)and ‖xm+1 − x∗‖ ≤ ψ2(‖xm − x∗‖)‖xm − x∗‖ ≤ ‖xm − x∗‖. (4.11)Then, by the estimation ‖xm+1 − x∗‖ ≤ d‖xm − x∗‖ < R, (4.12)where d = ψ2(‖x0 − x∗‖) ∈ = yn − F ′(xn)−1F (yn), (1.3) Newton


id: ma-30
author: Yang, Zhijian ; Liu, Qi; Sarfraz, Muhammad ; Li, Yongjin
title: Some Aspects of Geometric Constants in Modular Spaces
date: 2021
pages: 13
extension: .pdf
mime: application/pdf
words: 4834
sentence: 313
flesch: 87
cache: cache/ma-30.pdf
txt: txt/ma-30.txt
summary:
  ρ( x − y 2 )− 1 : x, y ∈ Xρ, ρ(x) ≤ 1, ρ(y) ≤ t } , t ≥ 0. ∈ (ε0, 2), for any x, y ∈ Xρ and ρ(x), ρ(y) ≤ 1, we have ρ(x − y) > ε or ρ(x − y) ≤ ε.


id: ma-171
author: Oriedo, I. S.; Lawi, G. O.; Bonyo, J. O.
date: 2023
pages: 12
extension: .pdf
mime: application/pdf
words: 4282
sentence: 230
flesch: 61
cache: cache/ma-171.pdf
txt: txt/ma-171.txt
title:
  Analysis of a Mathematical Model Incorporating Dual Protection and ART Adherence for a High Risk HIV Population

summary:
  The Zeros of the characteristic equation (14) Cases c0 c1 c2 c3 R0 > 1 Sign Change No. of - Roots1 + − − + R0 > 1 2 2,02 + − + + R0 > 1 2 2,03 − − + − R0 > 1 2 2,04 + + − − R0 > 1 1 05 − − + + R0 > 1 1 06 + + + − R0 > 1 1 07 − + − + R0 > 1 3 3,18 − − − − R0 > 1 0 0 This implies that for a small pertubation of the E1, solutions of the mathematical model representedby the system (2) always converge to E1, whenever R0 > 1. − αb1b6b8 − αb1b4b10 + b2b4b7Q2 + b1b5b8Q2 − b1b4b9Q2 − b1b4Q1Q2The number of negative zeros of equation (14) depends on the signs of c0, c1, c2 and c3.


id: ma-172
author: Argyros, oannis K.; Regmi, Samundra; John, Jinny Ann ; Jayaraman, Jayakumar
title: Efficient Derivative-Free Class of Seventh Order Method for Non-differentiable Equations
date: 2023
pages: 12
extension: .pdf
mime: application/pdf
words: 4261
sentence: 328
flesch: 80
cache: cache/ma-172.pdf
txt: txt/ma-172.txt
summary:
  ≤ 1 1− ϕ0(δ1(‖xn − ξ‖), δ2(‖xn − ξ‖)) , yn − ξ = A−1n (An − [xn, ξ;G])(xn − ξ), ‖yn − ξ‖ ≤ ϕ(‖xn − ξ‖, ‖wn − ξ‖, ‖sn − ξ‖)‖xn − ξ‖ 1− ϕ0(δ1(‖xn − ξ‖), δ2(‖xn − ξ‖)) ≤ h1(‖xn − ξ‖)‖xn − ξ‖ ≤ ‖xn − ξ‖ < r. Similarly, ‖zn − ξ‖ ≤ ϕ(‖yn − ξ‖, ‖wn − ξ‖, ‖sn − ξ‖)‖yn − ξ‖ 1− ϕ0(δ1(‖xn − ξ‖), δ2(‖xn − ξ‖)) ≤ h2(‖xn − ξ‖)‖xn − ξ‖ ≤ ‖xn − ξ‖, xn+1 − ξ = zn − ξ − A−1n G(zn)− [(p + q + r + d − 1)I + (q + 2r + 3d)(A−1n


id: ma-203
author: Bishwal, Jaya P. N.
title: Conditional Least Squares Estimation for Fractional Super Levy Processes in Nonlinear SPDEs
date: 2024
pages: 17
extension: .pdf
mime: application/pdf
words: 7028
sentence: 419
flesch: 72
cache: cache/ma-203.pdf
txt: txt/ma-203.txt
summary:
  For a large class of Levy processes, MH is neither a semimartingale.3)MH is Hölder continuous of any order β less than H − 1 2 . 4) MH has stationary increments. 3) SH is Hölder continuous of any order β less than H − 1 2 . 4)


id: ma-55
author: Pereira, Ducival C.; Araújo, Geraldo M. de; Raposo, Carlos A.
date: 2022
pages: 20
extension: .pdf
mime: application/pdf
words: 6243
sentence: 403
flesch: 81
cache: cache/ma-55.pdf
txt: txt/ma-55.txt
title:
  Unilateral Problem for a Viscoelastic Beam Equation Type p-Laplacian with Strong Damping and Logarithmic Source

summary:
  In [3] the authors establish existence of global solution to the problem utt + ∆2u − ∆pu + ∫ t 0 g(t − s)∆u(s)ds − ∆ut + f (u) = 0 in Ω× R+, (1.1) [12]The problem (1.1), with its memory term ∫ t 0 g(t− s)∆u(s)ds , can be regarded as a fourth-orderviscoelastic plate equation with a lower order perturbation of the p-Laplacian type.


id: ma-198
author: Mendy, Furmose; Mendy, John T
date: 2024
pages: 21
extension: .pdf
mime: application/pdf
words: 7342
sentence: 394
flesch: 79
cache: cache/ma-198.pdf
txt: txt/ma-198.txt
title:
  Modified Viscosity Iterative Algorithm for Solving Variational Inclusion and Fixed Point Problems in Real Hilbert Space

summary:
  PKΘ‖ ≤ ‖[I + (α0γf − ηα0B)]x − ([I + (α0γf − ηα0B)]y)‖ ≤ α0γ‖f (x)− f (y)‖+ ‖(I − ηα0B)x − (I − ηα0B)y‖ ≤ α0γρ‖x − y‖+ (I − ατ)‖x − q‖2 + (1− βn)‖un − q‖2 − (1− βn)βn‖un − yn‖2 ≤ βn‖yn


id: ma-245
author: Crasmareanu, Mircea
title: The Jacobi Mate of an Oval
date: 2024
pages: 7
extension: .pdf
mime: application/pdf
words: 2640
sentence: 174
flesch: 81
cache: cache/ma-245.pdf
txt: txt/ma-245.txt
summary:
  Jacobi elliptic functions; oval; support function; curvature.1 https://adac.ee https://doi.org/10.28924/ada/ma.4.18 https://orcid.org/0000-0002-5230-2751 Eur. J. Math. Recall that its solutions are called Jacobi elliptic functions and there are usually denoted cn(·, ρ), sn(·, ρ) respectively dn(·, ρ); we prefer the simple notation used above.


id: ma-216
author: Konlan, Musah
title: Modeling the Inflow of Exposed and Infected Migrants on the Dynamics of Malaria
date: 2024
pages: 23
extension: .pdf
mime: application/pdf
words: 7420
sentence: 405
flesch: 66
cache: cache/ma-216.pdf
txt: txt/ma-216.txt
summary:
  − − − 1 1 https://doi.org/10.28924/ada/ma.4.7 Eur. J. Math. Number (#) of Possible Positive Roots of f (I∗∗h ) Case q3 q2 q1 q0 # of sign change # of roots(i) + + + − 1 1(ii) + + − − 1 1(iii) + − + − 3 1, 3(iv) +


id: ma-208
author: Abbas, Muhammad Naeem; Ahmad, Mukhtar; Khan, Abdul Rauf; Qayyum, Ather; Supadi, Siti Suzlin
title: A New Study on Generalized Reverse Derivations of Semi-prime Ring
date: 2024
pages: 7
extension: .pdf
mime: application/pdf
words: 2506
sentence: 173
flesch: 83
cache: cache/ma-208.pdf
txt: txt/ma-208.txt
summary:
  Let g : R → R be an additive map and on a left ideal B of R, g is centralizing,then g(u1) ∈ R ∀ u1 ∈ B ∪ Z. Lemma 2.10. a reverse derivation in semi-prime ring R, then the commutativityexists in R resently Mukhtar Ahmad et.al[9].


id: ma-136
author: Belaïdi, Benharrat; Belmiloud, Meriem
date: 2023
pages: 27
extension: .pdf
mime: application/pdf
words: 10212
sentence: 587
flesch: 86
cache: cache/ma-136.pdf
txt: txt/ma-136.txt
title:
  Complex Oscillation of Solutions and Their Arbitrary-Order Derivatives of Linear Differential Equations With Analytic Coefficients of [p, q]-Order in the Unit Disc

summary:
  Definition 1.4 Let p ≥ q ≥ 1 be integers and f be a meromorphic function in D. Then, the [p, q]-exponent of convergence of the sequence of fixed points of f is defined by λ[p,q] (f − z) = lim sup r→1− log+p N ( r, 1f−z ) logq ( 1 1−r ) . = λ̄n+1 (f − z) = σn+1 (f ) = µ, (j = 1, 2, ...)


id: ma-173
author: Argyros, Ioannis K.; Joshi, Janak; Regmi, Samundra
title: Two Point Iterative Schemes for Nondifferentiable Equations in Banach Space
date: 2023
pages: 12
extension: .pdf
mime: application/pdf
words: 3798
sentence: 280
flesch: 82
cache: cache/ma-173.pdf
txt: txt/ma-173.txt
summary:
  Then, by the scheme (1.2) for n replaced by n + 1, we obtain: ‖xn+2 − xn+1‖ ≤ ‖A(xn+1, xn)−1P‖‖PF (xn+1)‖ ≤ v(γn+1 − γn, γn − γn−1) 1− v0(‖xn+1 − x0‖, ‖xn − x0‖) ≤ v(γn+1 − γn, γn − γn−1)(γn+1 − γn) 1− v0(γn+1, γn)and ‖xn+2 − x0‖ ≤ ‖xn+2 x1 − x∗ = x0 − x∗ − A(x0 − x−1)−1F (x0)


id: ma-168
author: Adeyemo, K. M.
date: 2023
pages: 11
extension: .pdf
mime: application/pdf
words: 3712
sentence: 227
flesch: 70
cache: cache/ma-168.pdf
txt: txt/ma-168.txt
title:
  Local Stability Analysis of Onchocerciasis Transmission Dynamics With Nonlinear Incidence Functions in Two Interacting Populations

summary:
  The following system of non-linear ordinary differential equations,with non-negative initial conditions, describes the dynamics of onchocerciaisis epidemics. dSh(t,xi ) Iv (t) − µh(xi)Sh + w(xi)Rh(t, xi)) dEh(t,xi ) dt = ∑L i=0 δλh(xi )Sh(t,xi )


id: ma-294
author: Dung, Nguyen Dinh
date: 2025
pages: 11
extension: .pdf
mime: application/pdf
words: 3254
sentence: 198
flesch: 58
cache: cache/ma-294.pdf
txt: txt/ma-294.txt
title:
  Numerical Results for Gauss-Seidel Iterative Algorithm Based on Newton Methods for Unconstrained Optimization Problems

summary:
  So, in this paper, we propose Gauss – Seidel algorithmsimplemented for the Newton and quasi-Newton method for finding solutions at each iterationstep, in which we inherit the information of the component solutions calculated in the current https://doi.org/10.28924/ada/ma.5.9 Eur. The calculation results show thatthe quasi-Newton method has the advantage of not requiring a quadratic differentiable objectivefunction, but the convergence is quite slow compared to the Newton method.


id: ma-167
author: Mendy, Furmose; Mendy, John T
title: A Modified Algorithms for New Krasnoselskii's Type for Strongly Monotone and Lipschitz Mappings
date: 2023
pages: 11
extension: .pdf
mime: application/pdf
words: 4410
sentence: 308
flesch: 75
cache: cache/ma-167.pdf
txt: txt/ma-167.txt
summary:
  − ρ∗‖2 − 2θnk‖xn − ρ∗‖2 + d2‖xn − ρ∗‖2 = ( θ2nL 2 − 2kθn + d2 ) ‖xn − ρ∗‖2 (3.4) Again, with the fact that 0 < ( θ2nL 2 − 2kθn + d2 ) Wm,p : Ju = ‖u‖2−pWm,p ∑ |α≤m| (−1)|α|Dα(|Dαu|p−2Dαu) ∈ W−m,p In Lp, `p and Wm,p spaces for 1 < p <∞ are q−uniformly smooth real Banach spaces with q, as q = min{2, p} and dq ≥ 1 (2.2) is given by dq = { 1+τq−1 (1+τ)q−1 , i f 1 < p < 2; p − 1, i f 2 ≤ p <∞. (2.3) and τ(0, 1) as the unique solution of the equation (q − 2)tq−1 + (q − 1)tq−2 − 1 = 0 It is well known that • E is smooth if and only if J is single-valued. •


id: ma-310
author: Darya, Ali; Taghizadeh, Nasir
date: 2025
pages: 10
extension: .pdf
mime: application/pdf
words: 3397
sentence: 186
flesch: 68
cache: cache/ma-310.pdf
txt: txt/ma-310.txt
title:
  Neumann and Dirichlet Problems for the Cauchy–Riemann and the Poisson Equations in the Partial Eclipse Domain

summary:
  [ t ζ − log(ζ − t) + a2 ζ2 log(ζt − a2) ] dζ. This completes the proof. = 1 2πi ∫ ∂M γ(ζ) [ z ζ − log(ζ − z) + a2 ζ2 log(ζz − a2) ] dζ + c.


id: ma-156
author: Umudu, J. C.; Olaleru, J. O.; Olaoluwa, H.; Mogbademu, A. A.
title: Best Proximity Points for Generalized Geraghty Quasi-Contraction Type Mappings in Metric Spaces
date: 2023
pages: 11
extension: .pdf
mime: application/pdf
words: 3823
sentence: 255
flesch: 75
cache: cache/ma-156.pdf
txt: txt/ma-156.txt
summary:
  The notion of best proximity point was introduced in [14], the classof proximal quasi contraction mappings was introduced in [11] and thereafter, several known resultswere derived ( [10], [12], [13]). For additional information on best proximity point, see [7], [9], [10], [11], [12], [13],[14], [15], [17], [18], [20], [23].


id: ma-207
author: Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh; Warden, Jefferey
date: 2024
pages: 10
extension: .pdf
mime: application/pdf
words: 3786
sentence: 282
flesch: 68
cache: cache/ma-207.pdf
txt: txt/ma-207.txt
title:
  A Unified Kantorovich-type Convergence Analysis of Newton-like Methods for Solving Generalized Equations under the Aubin Property

summary:
  − L(xm)‖‖v1 − v2‖ ≤ w0(‖xm − x0‖)‖v1 − v2‖ ≤ w0(ρ)‖v1 − v2‖, where w0(ρ) < 1, by the definition of ρ. − xm‖ 1 λ [∫ 1 0 w0((1− θ)‖x − x0‖)dθ‖x − x0‖ + ∫ 1 0 w((1− θ)‖x − xm‖)dθ‖x − xm‖ +w0(‖xm − x0‖)‖x − xm‖+ w1)‖xm − x0‖)‖x − xm‖] ≤ 1 λ [∫ 1 0 w0((1− θ)ρ)dθ + w0(ρ)


id: ma-232
author: Gori, E. O.; Bonyo, J. O.
title: Duality of the Nonreflexive Bergman Space of the Upper Half Plane and Composition Groups
date: 2024
pages: 16
extension: .pdf
mime: application/pdf
words: 6386
sentence: 426
flesch: 85
cache: cache/ma-232.pdf
txt: txt/ma-232.txt
summary:
  Now, g = f ◦ ψ is continuous on D with f = g ◦ ψ−1, and sup z∈D\ψ−1(K) 10.28924/ada/ma.4.14 10Now, lim a→0 ‖Cha f − f ‖B∞,◦(D) = lim a→0 ( sup z∈D (1− |z |2)|(Cha f − f )′|(z) )


id: ma-218
author: Umar, Lawal; Ibrahim, Yusuf; Lawan, M.S.
date: 2024
pages: 21
extension: .pdf
mime: application/pdf
words: 6590
sentence: 362
flesch: 83
cache: cache/ma-218.pdf
txt: txt/ma-218.txt
title:
  Hybrid Inertial Iterative Method for Fixed point, Variational Inequality and Generalized Mixed Equilibrium Problems in Banach Space

summary:
  We consider the following estimate using triangular inequality ‖xn − vn‖ ≤ ‖xn − xn+1‖+ ‖xn+1 Consider the triangular inequality ‖ ωn − zn ‖≤‖ ωn − xn ‖ + ‖ xn − zn ‖ .


id: ma-234
author: Diarra, Nouffou
title: Hardy-Littlewood-Sobolev Theorem for Bourgain-Morrey Spaces and Approximation
date: 2024
pages: 21
extension: .pdf
mime: application/pdf
words: 8060
sentence: 493
flesch: 85
cache: cache/ma-234.pdf
txt: txt/ma-234.txt
summary:
  Actually we have{ Lα ⊂Mα q,p ⊂Mα q,p1 ⊂Mα q,∞ =Mα q , 1 ≤ q < α < p ≤ p1 ≤ ∞. Mα q,p ⊂Mα q1,p , 1 ≤ q1 ≤ q ≤ α ≤ p ≤ ∞. (1) https://doi.org/10.28924/ada/ma.4.16 Eur. J. Math. We recall that, for 1 ≤ q, p, α ≤ ∞, the space F(q, p, α) arises naturally in the search of acharacterization of the set B(γ, p) in [7], where it is established that B(γ, p) ⊂ F(1, p, α)c ⊂ F(1, p, α) ⊂ WB(γ, p) , 0 < γ < 1 α ≤ 1 and 1 p = 1 α − γ, (8) with F(q, p, α)c = { f ∈ F(q, p, α) : lim y→0 ‖f − f (· − y)‖F(q,p,α)


id: ma-345
author: Argyros, Ioannis K.; Shakhno, Stepan; Yarmola, Halyna; Regmi, Samundra; Shrestha, Nirjal
title: Three Step Inverse Free Kurchatov-Like Methods of Convergence Order Close to Four for Equations
date: 2025
pages: 14
extension: .pdf
mime: application/pdf
words: 4578
sentence: 248
flesch: 76
cache: cache/ma-345.pdf
txt: txt/ma-345.txt
summary:
  − x∗ = xi − x∗ − Ti(F (xi)− F (x∗)) (2.10)We need the estimate ‖Ki+1 − F ′(xi)‖ = ‖[2yi − xi , xi ;F ]− [xi , xi ;F ]‖ ≤ l(‖2yi − xi − xi‖+ ‖xi − xi‖)


id: ma-382
author: Evans, Mogoi N.; Obogi, Robert
date: 2025
pages: 11
extension: .pdf
mime: application/pdf
words: 4122
sentence: 237
flesch: 58
cache: cache/ma-382.pdf
txt: txt/ma-382.txt
title:
  Computational Theory of Norm-Attaining Functionals: Algorithms, Stability, and Applications in Banach Spaces

summary:
  For regression models y = F (x) + ε with F ∈ X∗: (1) The empirical risk minimizer F̂n norm-attains with high probability (2) The attainment gap decays as E[‖F̂n‖ − sup‖x‖≤1 F̂n(x)|] Main Results and Discussions Theorem 2. Let X be a uniformly convex Banach space with modulus of convexity δ(ε), and let {Fn} be a sequence of computable functionals converging weakly to F ∈ X∗.


id: ma-140
author: Owino, Joseph Owuor
title: Group Analysis of Equal-Width Equation
date: 2023
pages: 20
extension: .pdf
mime: application/pdf
words: 5780
sentence: 400
flesch: 82
cache: cache/ma-140.pdf
txt: txt/ma-140.txt
summary:
  = τu = ξu 10.28924/ada/ma.3.13 13 dt 0 = dx 1 = du 0 , (3.46) yield two invariants, J1 = t and J2 = u.


id: ma-254
author: Bataka, Ky T.; Mensah, Yaogan
title: The Rellich-Kondrachov Theorem for Gelfand Pairs Over Hypergroups
date: 2025
pages: 10
extension: .pdf
mime: application/pdf
words: 3360
sentence: 229
flesch: 80
cache: cache/ma-254.pdf
txt: txt/ma-254.txt
summary:
  10.28924/ada/ma.5.3 3(2) ∀x, y ∈ H, supp(δx ∗ δy ) ⊂ H. Let G be a hypergroup and let K be a compact subhypergroup of G. For x, y ∈ G, x ∗ y standsfor the support of δx ∗ δy . the mapping (µ, ν) 7→ µ ∗ ν is continuous from Mb(G)×Mb(G) into Mb(G),(b) ∀x, y ∈ G, δx ∗ δy is a probability measure such that supp(δx ∗ δy ) is compact.(c)


id: ma-225
author: Wilbert, Asambo Awini; Iddrisu, Mohammed Muniru; Barnes, Benedict
title: Convexity Properties in Non-Newtonian Calculus and Their Applications
date: 2024
pages: 16
extension: .pdf
mime: application/pdf
words: 4056
sentence: 262
flesch: 79
cache: cache/ma-225.pdf
txt: txt/ma-225.txt
summary:
  The study presented some results on convexity properties in non-Newtonian calculus. Alsopresented is the Jensen-Steffensen inequality in non-Newtonian calculus and some applications.


id: ma-220
author: Rossaf, Mohamed; Mabrouk, Khadija; Ghiati, M'hamed; Mouniane, Mohammed
title: Duals of Continuous Frames in Hilbert C∗-Modules
date: 2024
pages: 15
extension: .pdf
mime: application/pdf
words: 4965
sentence: 310
flesch: 78
cache: cache/ma-220.pdf
txt: txt/ma-220.txt
summary:
  Moreover, if B is an upper bound for {Fw}w∈Ω and S is frame operator of {Fw}w∈Ω, then B ∥∥S−1 ∥∥− 1 2 ‖TF‖−1 ‖Γ‖−1 is a lower bound for {gw}w∈Ω. Proof. Let F = {Fw}w∈Ω be a ∗-continuous frame for H with pre-frame operator TF and frame operator S. Then the set of all the operator duals of {Fw}w∈Ω is precisely the following {gw}w∈Ω = { ΓFw + ϕew − ∫ Ω 〈 S−1Fw , Fi 〉 ϕewdµ(ω) } w∈Ω , where {ew}w∈Ω is the standard orthonormal basis for L2(Ω,A), ϕ ∈ B∗ ( H, L2(Ω,A) ) , and Γ is an invertible adjointable operator on H. Proof.


id: ma-247
author: Khedhiri, Hedi
title: Slicing of Negative Plurisubharmonic Currents Arising From Analytic Subsets
date: 2024
pages: 14
extension: .pdf
mime: application/pdf
words: 5993
sentence: 347
flesch: 79
cache: cache/ma-247.pdf
txt: txt/ma-247.txt
summary:
  × Cn−k , z = (z ′, z ′′), z ′ ∈ Ck , z ′′ ∈ Cn−k . Consider in C5 = C × C4, X = {z2 = z3 = z4 = 0} and Y = {z4 = z2 2 z 2 3} take k = 1 and ϕ(z ′)


id: ma-361
author: Evans, Mogoi N.; Moraa, Priscah
date: 2025
pages: 11
extension: .pdf
mime: application/pdf
words: 3670
sentence: 258
flesch: 54
cache: cache/ma-361.pdf
txt: txt/ma-361.txt
title:
  Nonlinear Geometry of Norm-Attaining Functionals: Variational Principles, Subdifferential Calculus, and Polynomial Optimization in Locally Convex Spaces

summary:
  For any continuous quasilinear p : X → R, there exists f ∈ X∗ attaining its p-norm and separating A from B: sup a∈A f (a) ≤ inf b∈B f (b) Proof. B−K.By the nonlinear separation theorem (see [1]), there exists f ∈ X∗ with: sup k∈K f (k) ≤ inf b∈B f (b) Step 3: Norm-Attainment VerificationThe critical observation is that f attains its p-norm on ∂K: ∃x0 ∈ ∂K with f (x0)


id: ma-267
author: Chana, Ahmed; Akhlidj, Abdellatif
title: Extremal Functions and Calderon’s Formulas for the Riemann-Liouville Two-Wavelet Transform
date: 2024
pages: 14
extension: .pdf
mime: application/pdf
words: 4935
sentence: 286
flesch: 75
cache: cache/ma-267.pdf
txt: txt/ma-267.txt
summary:
  Let s > 2α+3 2 , ψ be aRiemann-Liouville wavelet on K in L2α(K) and β > 0 thenwe have f ∈ Hsψ,β(K)⇒ Fα(f ) Let f ∈ Hsψ,β(K), by using the relations (2.9), (3.9), (4.2) and (4.4) we find that ‖f


id: ma-257
author: Khafagy, Salah A.; Mohamed, A. Ezzat
title: Stability Results of Positive Weak Solution for a Class of Chemically Reacting Systems
date: 2025
pages: 14
extension: .pdf
mime: application/pdf
words: 4998
sentence: 282
flesch: 78
cache: cache/ma-257.pdf
txt: txt/ma-257.txt
summary:
  In addition, we study the stability andinstability results of positive weak solution with different choices of f and g. 1. Introduction This paper aims to study the existence and non-existence results of positive weak solution tothe quasilinear elliptic system:


id: ma-119
author: Nyabonyi, J. Z.; Okelo, N. B.; Obogi, R. K.
title: On Norm Estimates for Derivations in Norm-Attainable Classes
date: 2023
pages: 15
extension: .pdf
mime: application/pdf
words: 7285
sentence: 562
flesch: 67
cache: cache/ma-119.pdf
txt: txt/ma-119.txt
summary:
  https://doi.org/ 10.2307/2160991.[27] G. Lumer, Complex methods and the estimation of operator norms and spectra from real numerical ranges, J. Funct. derivation; norm; norm-attainability;


id: ma-367
author: Nemri, Akram
title: On a Family of q-Weighted Bergman Spaces and Applications
date: 2025
pages: 14
extension: .pdf
mime: application/pdf
words: 5003
sentence: 331
flesch: 83
cache: cache/ma-367.pdf
txt: txt/ma-367.txt
summary:
  [∇α,q, Lα,q]q := ∇α,qLα,q − Lα,q∇α,q = q−α−1Λq ( [α+ 1]qI + (1 + q−1)q−α−1Nq ) , where I is the identity operator and Λq is the q-shift operator given by Λqf (z) = f (qz). = Aα,q ⊕A⊥α,q then for any f ∈ L2α,q(D), we have f = (f − f ⊥) + f ⊥ where f − f ⊥ ∈ Aα,q and f ⊥ ∈ A⊥α,q .


id: ma-354
author: Konlan, Musah; Chuaya, Razak Gbemmie
title: Stability Analysis of a Mathematical Model for Examination Malpractice Dynamics
date: 2025
pages: 12
extension: .pdf
mime: application/pdf
words: 3501
sentence: 231
flesch: 55
cache: cache/ma-354.pdf
txt: txt/ma-354.txt
summary:
  Examination malpractice is one of the key challenges endangering the quality of educa-tion in Ghana. In this paper, we proposed a mathematical model for exploringthe dynamics of examination malpractice at the West African Senior School Certificate Examination(WASSCE) level in Ghana.


id: ma-221
author: Rossafi, Mohamed; Kari, Abdelkarim
title: Best Proximity Point of Generalized θ-φ-Proximal Non-self Contractions
date: 2024
pages: 14
extension: .pdf
mime: application/pdf
words: 4685
sentence: 325
flesch: 83
cache: cache/ma-221.pdf
txt: txt/ma-221.txt
summary:
  The mapping T : A→ B is said to be a generalized θ − φ-proximal contraction offirst kind if there exist θ ∈ Θ, φ ∈ Φ and a, b, c, h ≥ 0 with a + b + +2ch, c 6= 1 such thatd (u1, T v1) In addition, for any fixed element u0 ∈ A0, sequence {un} defined by d(un+1, T un) = d(A,B), converges to the proximity point.


id: ma-233
author: Xu, Wenhui; Liu, Qi; Xia, Jinyu
title: On the Stability of Hyers Orthogonality Functional Equations in Non-Archimedean Spaces
date: 2024
pages: 11
extension: .pdf
mime: application/pdf
words: 3494
sentence: 184
flesch: 76
cache: cache/ma-233.pdf
txt: txt/ma-233.txt
summary:
  Stability of the orthogonally additive-quadratic functional equation In this section, we will use the following symbol D1f (x, y) = f (2x + y) + f (2x − y)− 4f (x + y)− 4f (x − y) −10f (x)− 14f (−x) + 3f (y) + 3f (−y) (2.1) we deal with the stability problem for the orthogonally additive-quartic functional equation for D1f (x, y) − f (x)− 2f (0) ∥∥∥∥ 6 ε (3.5)


id: ma-182
author: Tissinam, Yaovi A.; Issa, Abudulaï; Mensah, Yaogan
title: On a Generalization of (Lω1, Lωp)-Multipliers
date: 2023
pages: 12
extension: .pdf
mime: application/pdf
words: 4242
sentence: 294
flesch: 79
cache: cache/ma-182.pdf
txt: txt/ma-182.txt
summary:
  We denote by L1ω(G) this new Banach algebra ; in other words L1ω(G) = (L1ω(G), ‖ · ‖1,ω, ∗ω).For s ∈ G, define the operator Γsω by Γsωf (x) = τsMωf (x) ω(x) , f ∈ L1ω(G), where Mω is the multiplication operator defined by (Mωf )(x) = ω(x)f (x) and τs is the translation operator defined by (τs f )(x) = f (s−1x). Also, define µ ∗ω f (x) = ∫ G f (y−1x) ω(y)ω(y−1x) ω(x) dµ(y) for f ∈ L1ω(G) and µ ∈ M1ω(G).


id: ma-236
author: Stojiljković, Vuk; Dragomir, Sever Silvestru
date: 2024
pages: 12
extension: .pdf
mime: application/pdf
words: 4176
sentence: 299
flesch: 74
cache: cache/ma-236.pdf
txt: txt/ma-236.txt
title:
  Tensorial Simpson 1/8 Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Space

summary:
  Reflected in this work is the tensorial Shuang’s Lemma, which asa consequence enabled us to obtain Simpson type inequalities in Hilbert space. The first paper related to tensorial inequalities in Hilbert space was written by Dragomir [13].In the paper, he proved the tensorial version of the Ostrowski type inequality given by the following.


id: ma-265
author: Peretz, Ronen
date: 2025
pages: 15
extension: .pdf
mime: application/pdf
words: 6193
sentence: 439
flesch: 84
cache: cache/ma-265.pdf
txt: txt/ma-265.txt
title:
  Correspondences Among Inner Functions, Functions with Non-Negative Real Parts and Conformal Mappings

summary:
  Namely, ∀ z ∈ U , the function of w ∈ U given by: exp (−G(z · w)) is a contraction and so by the theoremof Banach it has a unique fixed-point w = S(z). The function of t ∈ U given by exp (−F (z · t)) is a contraction (with respect to the Euclideanmetric) where z ∈ U is fixed.(iv)


id: ma-255
author: Argyros, Ioannis K.; George, Santhosh; Regmi, Samundra; Argyros, Michael I.
title: Hybrid Iterative Methods for Solving Nonlinear Equations in Banach Spaces
date: 2025
pages: 19
extension: .pdf
mime: application/pdf
words: 6690
sentence: 448
flesch: 77
cache: cache/ma-255.pdf
txt: txt/ma-255.txt
summary:
  − s∗))‖ ≤ φ(‖s∗ − x0‖, ‖w − x0‖, ‖w − s∗‖)‖w − s∗‖ ≤ φ(α∗, α∗, ‖w − s∗‖)‖w − s∗‖ < ‖w − s∗‖, which gives a contradiction. − s∗‖)‖w1 − s∗‖ < ‖w1 − s∗‖ (2.12) by the choice of r .


id: ma-381
author: Dakoury, Martial Agbly; Feuto, Justin
title: New Characterization of Hardy-Fofana Spaces and Temperature Equation
date: 2025
pages: 12
extension: .pdf
mime: application/pdf
words: 5037
sentence: 274
flesch: 84
cache: cache/ma-381.pdf
txt: txt/ma-381.txt
summary:
  It is proved in [1] that for an element f ∈ H(p,q)(Rd), we have ‖x 7→ sup t>0 sup |x−y |<t |f ∗ Pt(y)|‖p,q ≈ ‖Mf The maximal function u∗ belongs to (Lp, `q)α(Rd) if and only if there exists f ∈ H(p,q,α)(Rd) such that u(x, t) := f ∗ Pt(x), (x, t) ∈ Rd+1 + .


id: ma-359
author: Saleeby, Elias G.; Joarder, Anwar H.; Rabiei, Nima
date: 2025
pages: 11
extension: .pdf
mime: application/pdf
words: 4357
sentence: 212
flesch: 76
cache: cache/ma-359.pdf
txt: txt/ma-359.txt
title:
  On the Cumulative Distribution Function of the Difference of Two Dependent Chi Square Random Variables

summary:
  Returning to the contour integral representation of Meijer G, but now as given in [10], we see in our specific case that G2,1 1,3 ( 1 1 2 m 2 0 |z ) = 1 2πi ∫ L Γ( 1 2 +s)Γ(m2 +s)Γ(−s) Γ(1+s) z−sds, where L is a contour in the complex s-plane, which exists as a1 − bi − 1 /∈ N (see [11]). [ Γ (1− a1 + b1) zb1 1F̃2 (1− a1 + b1; b1 − b2 + 1, b1 − b3 + 1; z) −Γ (1− a1 + b2) zb2 1F̃2 (1− a1 + b2; 1− b1 + b2, b2 − b3 + 1; z) ] , where b2 − b1 /∈ Z.


id: ma-301
author: Chana, Ahmed; Akhlidj, Abdellatif
title: Uncertainty Principles and Extremal Functions for Bessel Multiplier Operators in Quantum Calculus
date: 2025
pages: 16
extension: .pdf
mime: application/pdf
words: 5498
sentence: 358
flesch: 73
cache: cache/ma-301.pdf
txt: txt/ma-301.txt
summary:
  Let f ∈ L2α(R+q ) and σ ∈ L2α(R+q ) ∩ L∞α (R+q ) satisfy the admissibility condition (3.7) and 0 < γ < δ <∞. Then the function fγ,δ(x) [12] (i) Let E be a measurable subset of R+q , we say that the function f ∈ L2α(R+q ) is ε-concentrated on E if ‖f − 1Ef ‖2,q,α ≤ ε‖f ‖2,q,α, (3.11) where 1E is the indicator function of the set E. (ii) Let F be a measurable subset of R+q × R+q , we say that the function Tσ,β(f ) is ρ-concentrated on F


id: ma-317
author: Adjei, Emmanuel Ansong; Nantomah, Kwara; Zubil, Morgan Yindobil
title: Some Analytical Properties of the Remainder of Binet-Like Expression for the Barnes G-Function
date: 2025
pages: 9
extension: .pdf
mime: application/pdf
words: 2861
sentence: 240
flesch: 79
cache: cache/ma-317.pdf
txt: txt/ma-317.txt
summary:
  Multiple gamma function; Barnes G-function; Binet Remainder; Binet-like remainder; log-convex function; completely monotonic function; subadditive function; starshaped function.1 https://adac.ee https://doi.org/10.28924/ada/ma.5.13 Eur. J. Math. A. M. Bruckner and E. Ostrow, Some function classes related to the class of convex functions, Pac. J. Math. 12(1962), 1203-1215.


id: ma-246
author: Almocera, Junvon A.; Tutanes, Lezel M.
title: On η-Local Functions in Ideal Topological Spaces
date: 2025
pages: 13
extension: .pdf
mime: application/pdf
words: 6594
sentence: 524
flesch: 93
cache: cache/ma-246.pdf
txt: txt/ma-246.txt
summary:
  Now, notethat A∗η = η-cl(A∗η) and by Theorem 1 (x), hence, A∗η = η-cl(A∗η) ⊆ η-cl(A). For U ∈ η-O(X), suppose that x ∈ U ∩A∗η .


id: ma-241
author: Kyriakis, Alexandros
title: Schwarz Algorithms for Stokes-Stokes Coupling
date: 2025
pages: 17
extension: .pdf
mime: application/pdf
words: 5813
sentence: 286
flesch: 70
cache: cache/ma-241.pdf
txt: txt/ma-241.txt
summary:
  References [1] M.J. Gander, Optimized Schwarz methods for Helmholtz problems, in: Proceedings of the 13th International Con-ference on Domain Decomposition, CIMNE (2001) 245-252.[2] M.J. Gander, L. Halpern, F. Nataf, Optimized Schwarz methods, in: Proceedings of the 12th International Conferenceon Domain Decomposition, ddm.org (2000) 15-27.[3] P.L. Lions, On the Schwarz alternating method III: A variant for nonoverlapping subdomains, in: T. Chan, R. Glowinski,J. Periaux, O.B. Widlund (Eds.), Third International Symposium on Domain Decomposition Methods for PartialDifferential Equations, SIAM (1990) 202-223.[4] M.J. Gander, G. Wanner, The origins of the alternating Schwarz method, in: Domain Decomposition Methods inScience and Engineering XXI, LNCSE, Springer-Verlag (2014) 487-496.[5] M.J. Gander, Schwarz methods over the course of time, Elec. Convergence rate of Schwarz method using Dirichlet IC for varying overlap.


id: ma-248
title: Global Analysis of Meningitis Disease With Optimal Control
date: 2024
pages: 27
extension: .pdf
mime: application/pdf
words: 9472
sentence: 550
flesch: 64
cache: cache/ma-248.pdf
txt: txt/ma-248.txt
author:
  Danquah, Kwame Kyei; Appiah, Sampson Takyi; Danquah, Baaba A.; Afful, Bernard Asamoah; Safo, Godfred Agyemang

summary:
  − k1τ1EHh − (1− k1)τ1EHh − µEHh, d dt AHh = (1− k1)τ1EHh − (τ2 + τ3 + µ)AHh, (1) It was seen that the most sensitiveparameters on R0 are Λ, τ1, ψ1, η1, k1, µ, and ψ2.An optimal control model was formulated by adding time-dependent optimal controls.


id: ma-386
author: Argyros, Ioannis K.; Shakhno, Stepan; Shunkin, Yurii; Regmi, Samundra; Argyros, Christopher I.
date: 2025
pages: 17
extension: .pdf
mime: application/pdf
words: 5473
sentence: 392
flesch: 76
cache: cache/ma-386.pdf
txt: txt/ma-386.txt
title:
  On Local and Semi-Local Convergence Analysis of A High-Order Iterative Method for Solving Nonlinear Systems Without High Derivatives

summary:
  (2)n − x∗‖ ≤ g2(‖xn − x∗‖)‖xn − x∗‖ ≤ ‖xn − x∗‖, (13) ‖y (j)n − x∗‖ ≤ gj(‖xn − x∗‖)‖xn − x∗‖ ≤ ‖xn − x∗‖, (14) · · · https://doi.org/10.28924/ada/ma.5.18 Eur. J. Math. 10.28924/ada/ma.5.18 6 ‖xn+1 − x∗‖ = ‖y (k)n − x∗‖ ≤ gk(‖xn − x∗‖)‖xn − x∗‖ ≤ ‖xn − x∗‖. (15)


id: ma-342
author: Danladi, Ali; Tahir, Alhaji; Rezazadeh, Hadi
title: Modulation Instability, Dark and Singular Soliton for Weakly Nonlocal Schrodinger Equation
date: 2025
pages: 13
extension: .pdf
mime: application/pdf
words: 4864
sentence: 263
flesch: 55
cache: cache/ma-342.pdf
txt: txt/ma-342.txt
summary:
  The study of Schrodinger equations with nonlinearity is an important area of research in math-ematical physics. The ability to obtain exact solutions to such complex equations is crucial in understandingthe underlying physics and designing new experiments.


id: ma-260
author: Nagacy, Pokou
title: Boundedness of Some Commutators in Total Fofana Spaces
date: 2024
pages: 10
extension: .pdf
mime: application/pdf
words: 3924
sentence: 252
flesch: 84
cache: cache/ma-260.pdf
txt: txt/ma-260.txt
summary:
  In this paper, we find necessary and sufficient conditions for the boundedness of the com-mutator of the Hardy-Littlewood maximal operator in total Fofana spaces. Total Fofana spaces; maximal operator; commutator; sublinear operators; BMO spaces.1 https://adac.ee https://doi.org/10.28924/ada/ma.4.22 Eur. J. Math.


id: ma-415
author: Abdalmonem, Afif; Khalil, Omer; Abdalrhman, Omer
title: Estimates of Variable Kernel Parameterized Littlewood-Paley Operators on Variable Herz Spaces
date: 2025
pages: 13
extension: .pdf
mime: application/pdf
words: 3998
sentence: 300
flesch: 80
cache: cache/ma-415.pdf
txt: txt/ma-415.txt
summary:
  j.aml.2011.11.022[18] A. Abdalmonem, O. Abdalrhman, S. Tao, Boundedness of fractional integral with variable kernel and their commuta-tors on variable exponent Herz spaces, Appl. [4].As is well known, over the past thirty years, variable kernel integral operators have become anincreasingly active area of research.


id: ma-263
author: Chesneau, Christophe
title: A Proposal of New Extended Symmetric Cosine Distribution
date: 2025
pages: 26
extension: .pdf
mime: application/pdf
words: 9020
sentence: 571
flesch: 73
cache: cache/ma-263.pdf
txt: txt/ma-263.txt
summary:
  We start this analysis with the mean and variance associated withthe ESC distribution in the result below. We present them below, considering a random variable X withthe ESC distribution.


# url

id: ma-17
domain: www.elsevier.com
url:
  https://www.elsevier.com/books/iterative-solution-of-nonlinear-equations-in-several-variables/ortega/978-0-12-528550-6


# ent

id: ma-28
sid: 200
eid: 1
type: PERSON
entity:
  https://doi.org/10.1016/s0022-0396(02)00015-3 https://doi.org/10.1016/j.jmaa.2014.01.016 https://doi.org/10.1016/j.jmaa.2014.01.016


id: ma-91
sid: 248
eid: 1
type: ORG
entity:
  https://doi.org/10.28924/ada/ma.2.17 https://apps.dtic.mil/sti/pdfs/ada531331.pdf https://apps.dtic.mil/sti/pdfs/ada531331.pdf


id: ma-77
sid: 344
eid: 2
type: PERSON
entity:
  https://doi.org/10.112/plms/s2-48.1.48 https://doi.org/10.112/plms/s2-48.1.48 https://doi.org/10.1007/bfb0066543 https://doi.org/10.1007/bfb0066543


id: ma-66
sid: 159
eid: 1
type: PRODUCT
entity:
  https://doi.org/10.1016/j.ins.2012.03.009 https://doi.org/10.1016/j.ins.2012.03.009 https://doi.org/10.1016/j.cageo.2006.10.013 https://doi.org/10.1016/s0020-0255(02)00189-5 https://www.topologywithouttears.net/topbook.pdf https://www.topologywithouttears.net/topbook.pdf 1


id: ma-20
sid: 278
eid: 1
type: PERSON
entity:
  https://doi.org/10.28924/ada/ma.2.2 https://pascal-francis.inist.fr/vibad/index.php?action=getrecorddetail&idt=pascal82x0319279 https://pascal-francis.inist.fr/vibad/index.php?action=getrecorddetail&idt=pascal82x0319279 https://doi.org/10.13108/2021-13-1-131


id: ma-60
sid: 365
eid: 1
type: PERSON
entity:
  https://doi.org/10.34874/imist.prsm/fsejournal-v1i1.26873 https://doi.org/10.34874/imist.prsm/fsejournal-v1i1.26873 https://doi.org/10.1007/978-3-540-74448-1 https://doi.org/10.1515/mcma.2009.013 eur


id: ma-60
sid: 420
eid: 1
type: TIME
entity:
  https://doi.org/10.28924/ada/ma.2.7 https://doi.org/10.1007/s11009-008-9099-x https://doi.org/10.1016/j.apnum.2011.08.005 https://doi.org/10.1016/s0898-1221(01)00127-4


id: ma-53
sid: 511
eid: 1
type: PERSON
entity:
  https://doi.org/10.1016/j.amc.2013.05.078 https://doi.org/10.1016/j.amc.2013.05.078 https://doi.org/10.1007/s10910-018-0856-y


id: ma-99
sid: 688
eid: 2
type: ORG
entity:
  https://doi.org/10.1016/j.spa.2015.03.002 https://doi.org/10.1016/0304-4149(84)90004-8 https://doi.org/10.1016/0304-4149(84)90004-8


id: ma-99
sid: 692
eid: 1
type: PERSON
entity:
  https://doi.org/10.1016/j.jde.2016.10.009 https://doi.org/10.1214/12-aop789 https://doi.org/10.1016/j.spa.2018.08.003


id: ma-154
sid: 210
eid: 1
type: PRODUCT
entity:
  https://www.booksandcranniesva.com/book/9783319559759 https://doi.org/10.1016/j.cam.2013.11.019 https://archive.org/details/nondiscreteinduc0000potr https://doi.org/10.1016/j.jco.2009.05.001


id: ma-170
sid: 454
eid: 1
type: PERSON
entity:
  https://doi.org/10.1007/s11075-009-9359-z https://doi.org/10.1007/s11075-009-9342-8 https://doi.org/10.1080/03461238.1933.10419209 https://doi.org/10.1080/03461238.1933.10419209


id: ma-125
sid: 386
eid: 2
type: PERSON
entity:
  https://doi.org/10.52547/ijmsi.17.1.1 https://doi.org/10.52547/ijmsi.17.1.1 https://doi.org/10.1007/s11785-022-01229-4


id: ma-17
sid: 494
eid: 1
type: ORG
entity:
  https://www.elsevier.com/books/a-contemporary-study-of-iterative-methods/magrenan/978-0-12-809214-9 https://www.elsevier.com/books/a-contemporary-study-of-iterative-methods/magrenan/978-0-12-809214-9


id: ma-17
sid: 494
eid: 2
type: ORG
entity:
  https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.96.1713&rep=rep1&type=pdf https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.96.1713&rep=rep1&type=pdf https://doi.org/10.1080/01630568908816289 https://doi.org/10.1007/bf02166685


id: ma-17
sid: 532
eid: 1
type: PERSON
entity:
  https://doi.org/10.1016/j.amc.2013.05.078 https://doi.org/10.1016/j.amc.2013.05.078 https://doi.org/10.1016/j.cam.2005.01.001


id: ma-17
sid: 532
eid: 4
type: PERSON
entity:
  https://www.elsevier.com/books/iterative-solution-of-nonlinear-equations-in-several-variables/ortega/978-0-12-528550-6 https://www.elsevier.com/books/iterative-solution-of-nonlinear-equations-in-several-variables/ortega/978-0-12-528550-6


id: ma-25
sid: 664
eid: 1
type: ORG
entity:
  https://doi.org/10.1080/1726037x.2017.1413065 https://www.math.u-szeged.hu/ejqtde/p453.pdf https://www.math.u-szeged.hu/ejqtde/p453.pdf https://doi.org/10.1155/2013/243873 https://doi.org/10.1155/2013/243873 1


id: ma-245
sid: 201
eid: 1
type: ORG
entity:
  https://doi.org/10.31801/cfsuasmas.1165123 https://doi.org/10.1007/978-3-0348-0918-4 https://doi.org/10.1007/978-3-0348-0918-4 https://doi.org/10.1090/s0273-0979-04-01024-9


id: ma-55
sid: 477
eid: 4
type: PERSON
entity:
  https://doi.org/10.1137/s0036139992238498 https://doi.org/10.1137/s0036139993255327 https://doi.org/10.1002/mma.1552 eur


id: ma-105
sid: 1049
eid: 1
type: ORG
entity:
  https://doi.org/10.1155/2011/831436 https://doi.org/10.1007/s002850100109 https://doi.org/10.1016/j.jtbi.2010.08.036 https://doi.org/10.1016/j.camwa.2013.08.023


id: ma-294
sid: 215
eid: 1
type: PERSON
entity:
  https://doi.org/10.1155/2020/6391321 https://doi.org/10.1155/2020/6391321 https://doi.org/10.1109/tcyb.2016.2611529 https://doi.org/10.1109/tcyb.2016.2611529 https://doi.org/10.1137/20m1336370


id: ma-310
sid: 206
eid: 2
type: ORG
entity:
  https://doi.org/10.1134/s0965542524700520 https://doi.org/10.28924/ada/ma.4.15 https://doi.org/10.3103/s1066369x24700853


id: ma-310
sid: 215
eid: 1
type: GPE
entity:
  https://doi.org/10.28924/ada/ma.5.10 https://doi.org/10.28924/ada/ma.1.1 https://doi.org/10.28924/ada/ma.1.1


id: ma-207
sid: 355
eid: 1
type: ORG
entity:
  https://www.jstor.org/stable/3689393 https://www.jstor.org/stable/3689393 https://doi.org/10.1007/978-3-642-68874-4_14 https://doi.org/10.1007/978-3-642-68874-4_14


id: ma-354
sid: 25
eid: 1
type: ORG
entity:
  analysis.1 https://adac.ee https://doi.org/10.28924/ada/ma.5.16 https://orcid.org/0009-0007-6219-6810 eur


id: ma-257
sid: 431
eid: 2
type: PRODUCT
entity:
  https://doi.org/10.1016/s0362-546x(01)00564-8 https://doi.org/10.1016/s0362-546x(01)00564-8 https://doi.org/10.14317/jami.2018.173 https://doi.org/10.1090/gsm/019 https://doi.org/10.1090/gsm/019


id: ma-233
sid: 254
eid: 3
type: PERSON
entity:
  https://doi.org/10.1007/s00010-006-2868-0 https://doi.org/10.1007/s00010-006-2868-0 https://doi.org/10.4064/ba58-1-3


id: ma-236
sid: 422
eid: 1
type: PERSON
entity:
  https://doi.org/10.28924/ada/ma.4.17 https://doi.org/10.3390/fractalfract6090518 https://doi.org/10.3390/math10162970 https://doi.org/10.3390/math10162970 https://doi.org/10.3934/math.2023170 https://doi.org/10.3934/math.20221064


id: ma-236
sid: 422
eid: 2
type: PERSON
entity:
  https://doi.org/10.3934/math.2023087 https://doi.org/10.3934/math.2023087 https://doi.org/10.1155/2021/5533491 https://doi.org/10.1155/2021/5533491


id: ma-236
sid: 496
eid: 1
type: ORG
entity:
  https://doi.org/10.22436/jnsa.009.12.36 https://doi.org/10.37193/cmi.2024.01.10 https://doi.org/10.3390/sym15040925 https://doi.org/10.47443/ejm.2023.004


id: ma-182
sid: 332
eid: 2
type: ORG
entity:
  //doi.org/10.1155/s016117120000096x https://doi.org/10.28924/ada/ma.3.27 https://doi.org/10.1016/j.jfa.2019.108324


id: ma-182
sid: 333
eid: 1
type: ORG
entity:
  https://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/253 https://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/253


id: ma-119
sid: 481
eid: 2
type: ORG
entity:
  https://doi.org/10.1017/s0305004100055109 https://doi.org/10.22034/kjm.2019.97176 https://doi.org/10.22034/kjm.2019.97176


id: ma-301
sid: 381
eid: 1
type: PERSON
entity:
  https://doi.org/10.1090/s0002-9947-1950-0051437-7 https://doi.org/10.1090/s0002-9947-1950-0051437-7 https://doi.org/10.1016/j.jfa.2007.05.013 https://doi.org/10.1016/j.jfa.2007.05.013


id: ma-415
sid: 410
eid: 1
type: PERSON
entity:
  https://doi.org/10.3390/math10071168 https://doi.org/10.1007/978-3-0348-0548-3 https://doi.org/10.1007/s12215-010-0034-y


id: ma-386
sid: 506
eid: 1
type: PERSON
entity:
  https://doi.org/10.3390/math7010099 https://doi.org/10.3390/sym11020128 https://doi.org/10.3390/sym11020128


id: ma-386
sid: 506
eid: 2
type: PERSON
entity:
  https://doi.org/10.1007/s11075-009-9359-z https://doi.org/10.1016/j.cam.2018.06.006 https://doi.org/10.1016/j.cam.2014.06.010


id: ma-248
sid: 25
eid: 1
type: ORG
entity:
  analysis.1 https://adac.ee https://doi.org/10.28924/ada/ma.4.21 https://orcid.org/0000-0001-8123-5757 eur


# pos

id: ma-80
sid: 170
tid: 12
pos: PROPN
token:
  --------------------------------------------------------------------------------------------------------------------------------------------------------------------------

lemma:
  --------------------------------------------------------------------------------------------------------------------------------------------------------------------------


id: ma-80
sid: 223
tid: 3
pos: NOUN
token:
  ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------wu4

lemma:
  ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------wu4


id: ma-80
sid: 225
tid: 16
pos: PROPN
token:
  -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ln

lemma:
  -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ln


id: ma-80
sid: 230
tid: 16
pos: PROPN
token:
  -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ln+

lemma:
  -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ln+


id: ma-80
sid: 243
tid: 15
pos: PROPN
token:
  -----------------------------------------------------------------------------------------------ln+ln

lemma:
  -----------------------------------------------------------------------------------------------ln+ln


id: ma-80
sid: 352
tid: 5
pos: PROPN
token:
  ----------------------------------------------------------------------------------------------------------------------------------------=

lemma:
  ----------------------------------------------------------------------------------------------------------------------------------------=


id: ma-80
sid: 362
tid: 5
pos: PROPN
token:
  ----------------------------------------------------------------------------------------------------------------------------------------exp+

lemma:
  ----------------------------------------------------------------------------------------------------------------------------------------exp+


id: ma-80
sid: 362
tid: 6
pos: PUNCT
token:
  ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------=

lemma:
  ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------=


id: ma-80
sid: 372
tid: 17
pos: X
token:
  -----------------------------------------------------------------------------------------------------=

lemma:
  -----------------------------------------------------------------------------------------------------=


id: ma-80
sid: 376
tid: 17
pos: PROPN
token:
  -----------------------------------------------------------------------------------------------------ln+

lemma:
  -----------------------------------------------------------------------------------------------------ln+


id: ma-80
sid: 376
tid: 18
pos: PUNCT
token:
  ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------wk4

lemma:
  ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------wk4


id: ma-80
sid: 377
tid: 17
pos: PROPN
token:
  -----------------------------------------------------------------------------------------------------ln

lemma:
  -----------------------------------------------------------------------------------------------------ln


id: ma-80
sid: 418
tid: 6
pos: NOUN
token:
  -----------------------------------------------------------------------------------------------------------------------------------------------ln=

lemma:
  -----------------------------------------------------------------------------------------------------------------------------------------------ln=


id: ma-80
sid: 596
tid: 16
pos: PROPN
token:
  ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------https://doi.org/10.28924/ada/ma.2.14

lemma:
  ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------https://doi.org/10.28924/ada/ma.2.14


id: ma-80
sid: 674
tid: 21
pos: PUNCT
token:
  -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------.=

lemma:
  -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------.=


id: ma-80
sid: 879
tid: 2
pos: PROPN
token:
  -----------------------------------------------------------------------------------------------------------------------------------n3

lemma:
  -----------------------------------------------------------------------------------------------------------------------------------n3


