        item: #1 of 85
          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
       words: 4691
      flesch: 77
     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.
    keywords: lim; q‖2
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        item: #2 of 85
          id: ma-100
      author: Azizi, Tahmineh
       title: Analysis of Neuronal Oscillations of Fractional-Order Morris-Lecar Model
        date: 2022
       words: 5672
      flesch: 50
     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.
    keywords: ada; anal; bifurcation; current; eur; fractional; https://doi.org/10.28924/ada/ma.3.2; iapp; lecar; math; model; morris; order
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        item: #3 of 85
          id: ma-104
      author: Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh ; Argyros, Michael I.
       title: Updated and Weaker Convergence Criteria of Newton Iterates for Equations
        date: 2022
       words: 3581
      flesch: 80
     summary: − xi+1‖ ≤ ‖v − xi+2‖+ ‖xi+2 − xn‖ ≤ s∗ − sn (3.1) hold ∀n = 0, 1, 2, . . . .
    keywords: anal; convergence
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        item: #4 of 85
          id: ma-105
      author: Nangue, Alexis; Tchiffo, Bruno Nde
       title: Global Analysis of a Spatiotemporal Cellular Model for the Transmission of Hepatitis C Virus With Hattaf-Yousfi Functional Response
        date: 2021
       words: 13710
      flesch: 75
     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
    keywords: ada; anal; eur; hcv; https://doi.org/10.28924/ada/ma.3.1; infection; math; max; model; sup; system; α2v
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        item: #5 of 85
          id: ma-11
      author: Sahir, Muhammad Jibril Shahab
       title: Coordination of Classical and Dynamic Inequalities Complying on Time Scales
        date: 2023
       words: 4189
      flesch: 83
     summary: We explore dynamic inequalities on delta calcu-lus and their symmetric nabla versions. Thishybrid theory is also widely applied on dynamic inequalities.
    keywords: inequality
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        item: #6 of 85
          id: ma-115
      author: Waphare, B. B.; Shaikh, R. Z.
       title: Fractionalization of Hankel Type Integral Transforms and Their Relevance
        date: 2022
       words: 6471
      flesch: 68
     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.
    keywords: hankel; operator; order; transform; type
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        item: #7 of 85
          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
       words: 6074
      flesch: 75
     summary: In this article we establish and prove the conditions of numerical schemes stabilities in Mean andMean-square. Stochastic numerical schemes.
    keywords: euler; maruyama; mean; scheme; θ1∆t; θ2∆t
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        item: #8 of 85
          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
       words: 7285
      flesch: 67
     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;
    keywords: b(h; derivation; elementary; math; norm; operators; proof
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        item: #9 of 85
          id: ma-12
      author: Agwu, Imo Kalu; Igbokwe, Donatus Ikechi; Ukeje, Nathenial C.
       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
        date: 2021
       words: 8110
      flesch: 85
     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‖) +
    keywords: lim; n=1; q‖+; ‖xn
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        item: #10 of 85
          id: ma-125
      author: Nhari, Fakhr-dine; Rossafi, Mohamed
       title: Woven K-g-Fusion Frames in Hilbert C∗-Modules
        date: 2023
       words: 4336
      flesch: 84
     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 .
    keywords: i∈[m; j f; jpwi j; λi j
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        item: #11 of 85
          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
       words: 7089
      flesch: 78
     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
    keywords: equation; math
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        item: #12 of 85
          id: ma-140
      author: Owino, Joseph Owuor
       title: Group Analysis of Equal-Width Equation
        date: 2023
       words: 5780
      flesch: 82
     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.
    keywords: equation; group
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        item: #13 of 85
          id: ma-142
      author: Bishwal, Jaya P. N.
       title: On the Kolmogorov Distance for the Least Squares Estimator in the Fractional Ornstein-Uhlenbeck Process
        date: 2023
       words: 5508
      flesch: 84
     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.
    keywords: t −σ2h; θ̃t; − θ; −σ2h θ̃t
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        item: #14 of 85
          id: ma-154
      author: Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh ; Argyros, Michael I. 
       title: Developments on the Convergence Analysis of Newton-Kantorovich Method for Solving Nonlinear Equations
        date: 2023
       words: 2830
      flesch: 71
     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.
    keywords: convergence; newton
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        item: #15 of 85
          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
       words: 5010
      flesch: 82
     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)
    keywords: graph; index; p(k; petersen; vertices
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        item: #16 of 85
          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
       words: 4410
      flesch: 75
     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. •
    keywords: convex; monotone
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        item: #17 of 85
          id: ma-168
      author: Adeyemo, K. M.
       title: Local Stability Analysis of Onchocerciasis Transmission Dynamics With Nonlinear Incidence Functions in Two Interacting Populations
        date: 2023
       words: 3712
      flesch: 70
     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 )
    keywords: disease; i=0; µh(xi
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        item: #18 of 85
          id: ma-17
      author: Argyros, Ioannis K.
       title: Unified Convergence Analysis of Two-Step Iterative Methods for Solving Equations
        date: 2021
       words: 5638
      flesch: 79
     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
    keywords: convergence; math
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        item: #19 of 85
          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
       words: 4963
      flesch: 80
     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)
    keywords: convergence; math; method; − x0‖; − x∗‖
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        item: #20 of 85
          id: ma-171
      author: Oriedo, I. S.; Lawi, G. O.; Bonyo, J. O.
       title: Analysis of a Mathematical Model Incorporating Dual Protection and ART Adherence for a High Risk HIV Population
        date: 2023
       words: 4282
      flesch: 61
     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.
    keywords: hiv; model; risk; system; � �
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        item: #21 of 85
          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
       words: 4261
      flesch: 80
     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
    keywords: convergence; math; method; order; − x0‖
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        item: #22 of 85
          id: ma-173
      author: Argyros, Ioannis K.; Joshi, Janak; Regmi, Samundra
       title: Two Point Iterative Schemes for Nondifferentiable Equations in Banach Space
        date: 2023
       words: 3798
      flesch: 82
     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)
    keywords: convergence; scheme; x∗‖
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        item: #23 of 85
          id: ma-174
      author: Wandera, K. A.; Bonyo, J. O.; Ambogo, D. O.
       title: Strong Continuity of Composition Semigroups on the Generalized Bloch Spaces of the Upper Half Plane
        date: 2023
       words: 5639
      flesch: 82
     summary: Therefore ‖Cϕt f − f ‖Bα(U) Therefore ‖Cϕt f − f ‖Bα(U)
    keywords: bloch; bα0; lim
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        item: #24 of 85
          id: ma-179
      author: Bishwal, Jaya P. N.
       title: On the Kolmogorov Distance for the Maximum Likelihood Estimator in the Explosive Ornstein-Uhlenbeck Process
        date: 2023
       words: 5560
      flesch: 80
     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).
    keywords: eθt; e−2θt; θt −
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        item: #25 of 85
          id: ma-182
      author: Tissinam, Yaovi A.; Issa, Abudulaï; Mensah, Yaogan
       title: On a Generalization of (Lω1, Lωp)-Multipliers
        date: 2023
       words: 4242
      flesch: 79
     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).
    keywords: l1ω(g; multipliers
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        item: #26 of 85
          id: ma-198
      author: Mendy, Furmose; Mendy, John T
       title: Modified Viscosity Iterative Algorithm for Solving Variational Inclusion and Fixed Point Problems in Real Hilbert Space
        date: 2024
       words: 7342
      flesch: 79
     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
    keywords: anal; lim; math; xn)−; − q‖2
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        item: #27 of 85
          id: ma-199
      author: Jahan, Shah; Johnson, P. Sam
       title: Frame Operators for Frames in Krein Spaces
        date: 2024
       words: 4132
      flesch: 78
     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.
    keywords: frame; krein; space
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        item: #28 of 85
          id: ma-203
      author: Bishwal, Jaya P. N.
       title: Conditional Least Squares Estimation for Fractional Super Levy Processes in Nonlinear SPDEs
        date: 2024
       words: 7028
      flesch: 72
     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)
    keywords: fractional; levy; math; process; processes; stochastic
       cache: ma-203.pdf
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        item: #29 of 85
          id: ma-207
      author: Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh; Warden, Jefferey
       title: A Unified Kantorovich-type Convergence Analysis of Newton-like Methods for Solving Generalized Equations under the Aubin Property
        date: 2024
       words: 3786
      flesch: 68
     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)
    keywords: convergence; method; newton
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        item: #30 of 85
          id: ma-216
      author: Konlan, Musah
       title: Modeling the Inflow of Exposed and Infected Migrants on the Dynamics of Malaria
        date: 2024
       words: 7420
      flesch: 66
     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) +
    keywords: disease; equilibrium; malaria; math; model; rate
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        item: #31 of 85
          id: ma-218
      author: Umar, Lawal; Ibrahim, Yusuf; Lawan, M.S.
       title: Hybrid Inertial Iterative Method for Fixed point, Variational Inequality and Generalized Mixed Equilibrium Problems in Banach Space
        date: 2024
       words: 6590
      flesch: 83
     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 ‖ .
    keywords: i=1; lim; n→∞
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        item: #32 of 85
          id: ma-219
      author: Adeyemo, K. M.
       title: Global Stability Analysis of Onchocerciasis Transmission Dynamics with Vigilant Compartment in Two Interacting Populations
        date: 2024
       words: 3512
      flesch: 66
     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.
    keywords: i=0
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        item: #33 of 85
          id: ma-220
      author: Rossaf, Mohamed; Mabrouk, Khadija; Ghiati, M'hamed; Mouniane, Mohammed
       title: Duals of Continuous Frames in Hilbert C∗-Modules
        date: 2024
       words: 4965
      flesch: 78
     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.
    keywords: frame; fw}w∈ω; operator
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        item: #34 of 85
          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
       words: 2905
      flesch: 84
     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.
    keywords: y‖2
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        item: #35 of 85
          id: ma-225
      author: Wilbert, Asambo Awini; Iddrisu, Mohammed Muniru; Barnes, Benedict
       title: Convexity Properties in Non-Newtonian Calculus and Their Applications
        date: 2024
       words: 4056
      flesch: 79
     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.
    keywords: convex
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        item: #36 of 85
          id: ma-226
      author: Dung, Nguyen Dinh; Quang, Vu Vinh
       title: Finite Difference Method for Solving Second-Order Boundary Value Problems with High-Order Accuracy
        date: 2024
       words: 3460
      flesch: 61
     summary: − zi−1)(zi − zi+1)...(zi − zi−1)(x − zi+1)...(x
    keywords: accuracy; boundary; grid; order; problem
       cache: ma-226.pdf
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        item: #37 of 85
          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
       words: 3078
      flesch: 74
     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].
    keywords: 2πi
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        item: #38 of 85
          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
       words: 6386
      flesch: 85
     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) )
    keywords: b∞,
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        item: #39 of 85
          id: ma-234
      author: Diarra, Nouffou
       title: Hardy-Littlewood-Sobolev Theorem for Bourgain-Morrey Spaces and Approximation
        date: 2024
       words: 8060
      flesch: 85
     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)
    keywords: mα q
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        item: #40 of 85
          id: ma-236
      author: Stojiljković, Vuk; Dragomir, Sever Silvestru
       title: Tensorial Simpson 1/8 Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Space
        date: 2024
       words: 4176
      flesch: 74
     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.
    keywords: inequalities; math
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        item: #41 of 85
          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
       words: 5480
      flesch: 79
     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.
    keywords: equations; group; lie; symmetry; system
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        item: #42 of 85
          id: ma-241
      author: Kyriakis, Alexandros
       title: Schwarz Algorithms for Stokes-Stokes Coupling
        date: 2025
       words: 5813
      flesch: 70
     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.
    keywords: convergence; fourier; methods; schwarz
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        item: #43 of 85
          id: ma-245
      author: Crasmareanu, Mircea
       title: The Jacobi Mate of an Oval
        date: 2024
       words: 2640
      flesch: 81
     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.
    keywords: curve
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        item: #44 of 85
          id: ma-246
      author: Almocera, Junvon A.; Tutanes, Lezel M.
       title: On η-Local Functions in Ideal Topological Spaces
        date: 2025
       words: 6594
      flesch: 93
     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 .
    keywords: a∗η
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        item: #45 of 85
          id: ma-247
      author: Khedhiri, Hedi
       title: Slicing of Negative Plurisubharmonic Currents Arising From Analytic Subsets
        date: 2024
       words: 5993
      flesch: 79
     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 ′)
    keywords: theorem
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        item: #46 of 85
          id: ma-248
      author: Danquah, Kwame Kyei; Appiah, Sampson Takyi; Danquah, Baaba A.; Afful, Bernard Asamoah; Safo, Godfred Agyemang
       title: Global Analysis of Meningitis Disease With Optimal Control
        date: 2024
       words: 9472
      flesch: 64
     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.
    keywords: ahh; anal; asymptomatic; control; days; disease; ehh; graph; ihh; math; meningitis; model; rhh; shh; time
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        item: #47 of 85
          id: ma-25
      author: Saidani, Mansouria; Belaidi, Benharrat
       title: Some Properties on The [p,q]-Order of Meromorphic Solutions of Homogeneous and Non-homogeneous Linear Differential Equations With Meromorphic Coefficients
        date: 2021
       words: 8488
      flesch: 82
     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] ,
    keywords: logq; ρ[p
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        item: #48 of 85
          id: ma-254
      author: Bataka, Ky T.; Mensah, Yaogan
       title: The Rellich-Kondrachov Theorem for Gelfand Pairs Over Hypergroups
        date: 2025
       words: 3360
      flesch: 80
     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)
    keywords: theorem
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        item: #49 of 85
          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
       words: 6690
      flesch: 77
     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 .
    keywords: anal; convergence; math; method; newton; operator
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        item: #50 of 85
          id: ma-260
      author: Nagacy, Pokou
       title: Boundedness of Some Commutators in Total Fofana Spaces
        date: 2024
       words: 3924
      flesch: 84
     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.
    keywords: lp)α; λ(rd
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        item: #51 of 85
          id: ma-263
      author: Chesneau, Christophe
       title: A Proposal of New Extended Symmetric Cosine Distribution
        date: 2025
       words: 9020
      flesch: 73
     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.
    keywords: data; distribution; esc; esc distribution; math; pdf
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        item: #52 of 85
          id: ma-265
      author: Peretz, Ronen
       title: Correspondences Among Inner Functions, Functions with Non-Negative Real Parts and Conformal Mappings
        date: 2025
       words: 6193
      flesch: 84
     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)
    keywords: s(z
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        item: #53 of 85
          id: ma-267
      author: Chana, Ahmed; Akhlidj, Abdellatif
       title: Extremal Functions and Calderon’s Formulas for the Riemann-Liouville Two-Wavelet Transform
        date: 2024
       words: 4935
      flesch: 75
     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
    keywords: liouville; riemann
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        item: #54 of 85
          id: ma-27
      author: Ofem, Austine Efut; Udofia, Unwana Effiong; Igbokwe, Donatus Ikechi
       title: New Iterative Algorithm for Solving Constrained Convex Minimization Problem and Split Feasibility Problem
        date: 2021
       words: 8870
      flesch: 76
     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
    keywords: algorithm; iterative; lim; mappings; math; nonexpansive; − z‖
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        item: #55 of 85
          id: ma-28
      author: Khafagy, Salah A.; Serag, Hassan M.
       title: Stability of Positive Weak Solution for Generalized Weighted p-Fisher-Kolmogoroff Nonlinear Stationary-State Problem
        date: 2022
       words: 2429
      flesch: 66
     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) :
    keywords: solution
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        item: #56 of 85
          id: ma-287
      author: Chesneau, Christophe
       title: Some New Series Expansions of a Special Type of Functions Involving the Logarithmic Function
        date: 2025
       words: 6895
      flesch: 83
     summary: − 1)− 2k−1(x2−k − 1) ] cos [ 2k−2(x2 −(k−1) − 1)− 2k−1(x2−k − 1) ] cosh
    keywords: k=1; log(x; −k −
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        item: #57 of 85
          id: ma-294
      author: Dung, Nguyen Dinh
       title: Numerical Results for Gauss-Seidel Iterative Algorithm Based on Newton Methods for Unconstrained Optimization Problems
        date: 2025
       words: 3254
      flesch: 58
     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.
    keywords: algorithm; method; newton; x(k
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        item: #58 of 85
          id: ma-297
      author: Argyros, Ioannis K.; George, Santhosh; Argyros, Michael
       title: Majorizing Sequences for Newton-Like Method and Their Limit Points
        date: 2025
       words: 2590
      flesch: 81
     summary: − xn‖ ≤ v∗ − vn. − xn‖ ≤ s∗ − sn.
    keywords: sequences
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        item: #59 of 85
          id: ma-301
      author: Chana, Ahmed; Akhlidj, Abdellatif
       title: Uncertainty Principles and Extremal Functions for Bessel Multiplier Operators in Quantum Calculus
        date: 2025
       words: 5498
      flesch: 73
     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
    keywords: r+q
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        item: #60 of 85
          id: ma-310
      author: Darya, Ali; Taghizadeh, Nasir
       title: Neumann and Dirichlet Problems for the Cauchy–Riemann and the Poisson Equations in the Partial Eclipse Domain
        date: 2025
       words: 3397
      flesch: 68
     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.
    keywords: ζ −; − a2; − z
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        item: #61 of 85
          id: ma-342
      author: Danladi, Ali; Tahir, Alhaji; Rezazadeh, Hadi
       title: Modulation Instability, Dark and Singular Soliton for Weakly Nonlocal Schrodinger Equation
        date: 2025
       words: 4864
      flesch: 55
     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.
    keywords: equation; nonlinear; solutions; values; wave
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        item: #62 of 85
          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
       words: 4578
      flesch: 76
     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‖)
    keywords: convergence; method
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        item: #63 of 85
          id: ma-354
      author: Konlan, Musah; Chuaya, Razak Gbemmie
       title: Stability Analysis of a Mathematical Model for Examination Malpractice Dynamics
        date: 2025
       words: 3501
      flesch: 55
     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.
    keywords: candidates; examination; malpractice; math; model
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        item: #64 of 85
          id: ma-361
      author: Evans, Mogoi N.; Moraa, Priscah
       title: Nonlinear Geometry of Norm-Attaining Functionals: Variational Principles, Subdifferential Calculus, and Polynomial Optimization in Locally Convex Spaces
        date: 2025
       words: 3670
      flesch: 54
     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)
    keywords: attainment; convex; norm; theorem
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        item: #65 of 85
          id: ma-367
      author: Nemri, Akram
       title: On a Family of q-Weighted Bergman Spaces and Applications
        date: 2025
       words: 5003
      flesch: 83
     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 .
    keywords: dνα; q(d; q(z
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        item: #66 of 85
          id: ma-382
      author: Evans, Mogoi N.; Obogi, Robert
       title: Computational Theory of Norm-Attaining Functionals: Algorithms, Stability, and Applications in Banach Spaces
        date: 2025
       words: 4122
      flesch: 58
     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∗.
    keywords: banach; computable; norm; space
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        item: #67 of 85
          id: ma-386
      author: Argyros, Ioannis K.; Shakhno, Stepan; Shunkin, Yurii; Regmi, Samundra; Argyros, Christopher I.
       title: On Local and Semi-Local Convergence Analysis of A High-Order Iterative Method for Solving Nonlinear Systems Without High Derivatives
        date: 2025
       words: 5473
      flesch: 76
     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)
    keywords: convergence; math; method; order; x∗‖
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        item: #68 of 85
          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
       words: 3998
      flesch: 80
     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.
    keywords: variable; µ∗,σψ
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        item: #69 of 85
          id: ma-44
      author: Beddani, Hamid; Beddani, Moustafa; Dahmani, Zoubir
       title: Nonlinear Differential Problem with p-Laplacian and via Phi-Hilfer Approach: Solvability and Stability Analysis
        date: 2021
       words: 5739
      flesch: 80
     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.
    keywords: γ(α2; ϕγ2−1
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        item: #70 of 85
          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
       words: 12927
      flesch: 82
     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 ∈
    keywords: j j−1∏; j(ρ; j=2; j=2 α1n; j=2 δn; j−1∏ i=1; α1n; α2n; α3n; − q‖2
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        item: #71 of 85
          id: ma-51
      author: Agwu, lmo; Igbokwe, Donatus Ikechi
       title: Weak and Strong Convergence Theorems of Modified Projection-Type Ishikawa Iteration Scheme for Lipschitz α-Hemicontractive Mappings
        date: 2022
       words: 4628
      flesch: 81
     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)
    keywords: math; αq‖2
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        item: #72 of 85
          id: ma-53
      author: Argyros, Ioannis K.; George, Santhosh ; Argyros, Christopher I.
       title: On the Ostrowski Method for Solving Equations
        date: 2021
       words: 5305
      flesch: 83
     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∗)
    keywords: convergence; math; method; x∗‖
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        item: #73 of 85
          id: ma-55
      author: Pereira, Ducival C.; Araújo, Geraldo M. de; Raposo, Carlos A.
       title: Unilateral Problem for a Viscoelastic Beam Equation Type p-Laplacian with Strong Damping and Logarithmic Source
        date: 2022
       words: 6243
      flesch: 81
     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.
    keywords: 0(ω; l2(0; math
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        item: #74 of 85
          id: ma-58
      author: Rossafi, Mohamed; El Jazzar, Roumaissae; Kacha, Ali
       title: ∗-K-Operator Frame for Hom∗A(X)
        date: 2021
       words: 3814
      flesch: 80
     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).
    keywords: frame; operator
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        item: #75 of 85
          id: ma-60
      author: Bishwal, Jaya P. N.
       title: On the Stratonovich Estimator for the Itô Diffusion
        date: 2022
       words: 4022
      flesch: 72
     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
    keywords: i=1; xti−1
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        item: #76 of 85
          id: ma-63
      author: Rossafi, Mohamed; Kari, Abdelkarim; Massit, Hafida
       title: On the α−ψ−Contractive Mappings in C∗-Algebra Valued b-Rectangular Metric Spaces and Fixed Point Theorems
        date: 2022
       words: 2810
      flesch: 82
     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.
    keywords: c∗-algebra
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        item: #77 of 85
          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
       words: 6988
      flesch: 69
     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.
    keywords: black; equation; finite; math; model; option; pricing; scholes; volatility; σ̃ σ
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        item: #78 of 85
          id: ma-66
      author: Asghar, Ali; Qayyum, Ather; Muhammad, Noor
       title: Different Types of Topological Structures by Graphs
        date: 2022
       words: 2481
      flesch: 74
     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 )
    keywords: graph; k10
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        item: #79 of 85
          id: ma-80
      author: Howard, Roy M.
       title: Analytical Approximations for the Principal Branch of the Lambert W Function
        date: 2022
       words: 15832
      flesch: 81
     summary: 1– e 1  W y  W2 W3 y WI3 y  re y  W0 y  W1 y  y W0 y  W2 y
    keywords: approximations; error; figure; function; interval; lambert; lambert w; order; theorem; w y; wli; y y; y ; y ln;  w; ln+
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        item: #80 of 85
          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
       words: 4637
      flesch: 84
     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).
    keywords: convergence; math
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        item: #81 of 85
          id: ma-86
      author: Bishwal, Jaya P. N.
       title: Quasi-likelihood Estimation in Fractional Levy SPDEs from Poisson Sampling
        date: 2022
       words: 5177
      flesch: 67
     summary: Continuoustime long memory jump process is fractional Levy process. Hence fractional Levy process can alsobe called the Kolmogorov-Levy process.
    keywords: estimation; fractional; i=1; levy; process; stochastic
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        item: #82 of 85
          id: ma-88
      author: Zhou, Chuanjiang; Liu, Qi; Li, Yongjin
       title: A New Approximate Birkhoff Orthogonality Type
        date: 2022
       words: 5357
      flesch: 83
     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‖|.
    keywords: orthogonality; spaces
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        item: #83 of 85
          id: ma-9
      author: Ravikumar, K.; Ramkumar, K.; Chalishajar, Dimplekumar
       title: Existence and Stability Results for Second-Order Neutral Stochastic Differential Equations With Random Impulses and Poisson Jumps
        date: 2021
       words: 6576
      flesch: 82
     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.
    keywords: i=1; max{1,n; s(t −; t t0; ξi−1
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        item: #84 of 85
          id: ma-91
      author: Azizi, Sepideh; Azizi, Tahmineh
       title: The Fractal Nature of Drought: Power Laws and Fractal Complexity of Arizona Drought
        date: 2022
       words: 3544
      flesch: 49
     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).
    keywords: ada; analysis; arizona; data; database; drought; figure; fractal; math; monitor; power; scaling; time
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        item: #85 of 85
          id: ma-99
      author: Bishwal, Jaya P. N.
       title: Parameter Estimation for SPDEs Driven by Cylindrical Stable Processes
        date: 2022
       words: 9211
      flesch: 71
     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.
    keywords: ada; anal; distribution; estimation; eur; https://doi.org/10.28924/ada/ma.3.4; i=1; levy; math; process; stochastic
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