        item: #1 of 41
          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: 2021-09-03
       words: 4478
      flesch: 83
     summary: [γ2nsnk2n(sn + 1) + 2(βnα + αn) 2 ] ‖un −q‖2 + 2βn〈ψ(q) −q,un+1 −q〉 ‖un+1 −q‖2 ≤ γ2nsnk 2 n(sn + 1) + 2(βnα + αn) 2 − [ γ2n(1 − sn)2k2n(2 − sn) + 2(βnα + αn) ]‖un −q‖2 + 4βn 2 − [ γ2n(1 − sn)2k2n(2 − sn) + 2(βnα + αn) ]〈ψ(q) −q,un+1 −q〉 ‖un+1 −q‖2 ≤ ( 1 − 2 −γ2n(1 − sn)2k2n(2 − sn) −γ2nsnk2n(sn + 1) 2 − [ γ2n(1 − sn)2k2n(2 − sn) + 2(βnα + αn) ])‖un −q‖2 + 4βn 2 − [ γ2n(1 − sn)2k2n(2 − sn) + 2(βnα + αn) ]〈ψ(q) −q,un+1 −q〉 Eur. − sn)(un+1 −p) 1 −βn ‖ ≤ γnknsn 1 −βn ‖un −p‖ + γnkn(1 − sn) 1 −βn ‖un+1 −p‖ (3.4)
    keywords: lim; nun‖; n→∞; ‖un
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        item: #2 of 41
          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: 2022-08-15
       words: 3534
      flesch: 80
     summary: s3 − s2 ≤ β(s2 − s1)1+q, or s3 < s2 + β −1 q δ(1+q) 1 ≤ γ. − s0)q ≤ K̄s q i+1 < 1.
    keywords: anal; convergence
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        item: #3 of 41
          id: ma-11
      author: Sahir, Muhammad Jibril Shahab
       title: Coordination of Classical and Dynamic Inequalities Complying on Time Scales
        date: 2023-02-03
       words: 4133
      flesch: 85
     summary: There have been recent achievements of the theory and applications of dynamic inequalities ontime scales. We explore dynamic inequalities on delta calcu-lus and their symmetric nabla versions.
    keywords: inequality
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        item: #4 of 41
          id: ma-115
      author: Waphare, B. B.; Shaikh, R. Z.
       title: Fractionalization of Hankel Type Integral Transforms and Their Relevance
        date: 2022-10-03
       words: 6511
      flesch: 69
     summary: V. Namias, Fractionalization of Hankel transforms, IMA J. Appl. https://doi.org/10.1016/j.sigpro.2005.10.001.[15] A.L. Schwartz, An inversion theorem for Hankel transforms, Proc.
    keywords: fractional; hankel; operator; order; transform; type
       cache: ma-115.pdf
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        item: #5 of 41
          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: 2023-01-09
       words: 5963
      flesch: 77
     summary: Stochastic numerical schemes. Stochastic numerical schemes 3.
    keywords: euler; lim; maruyama; mean; scheme; stability; θ1∆t; θ2∆t
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        item: #6 of 41
          id: ma-119
      author: Nyabonyi, J. Z.; Okelo,  N. B.; Obogi, R. K.
       title: On Norm Estimates for Derivations in Norm-Attainable Classes
        date: 2023-01-16
       words: 7188
      flesch: 67
     summary: https://doi.org/10.1090/proc/12664.[53] Y.C. Kim, T. Sugawa, Norm estimates of the pre-Schwarzian derivatives for certain classes of univalent functions,Proc. G. Lumer, Complex methods and the estimation of operator norms and spectra from real numerical ranges, J. Funct.
    keywords: anal; attainability; b(h; derivation; elementary; math; norm; operators; proof
       cache: ma-119.pdf
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        item: #7 of 41
          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: 2021-09-08
       words: 7656
      flesch: 89
     summary: lim sup[(1 + hnM)‖xn −q‖ + θn] = c. (3.25)Furthermore, ‖T2(PT2)zn −q‖ ≤ + θn = (1 + hnM)[(1 −βn + βn + βnhnM))‖xn −q‖ + θn)]
    keywords: lim; math; ‖xn; −q‖
       cache: ma-12.pdf
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        item: #8 of 41
          id: ma-125
      author: Nhari, Fakhr-dine; Rossafi, Mohamed
       title: Woven K-g-Fusion Frames in Hilbert C∗-Modules
        date: 2023-02-01
       words: 3762
      flesch: 80
     summary: In the other words, (i) 〈f , f 〉≥ 0 for all f ∈ H and 〈f , f 〉 = 0 if and only if f = 0.(ii) 〈af + g,h〉 = a〈f ,h〉 + 〈g,h〉 for all a ∈A and f ,g,h ∈ H.(iii) 〈f ,g〉 = 〈g,f 〉∗ for all f ,g ∈ H. For f ∈ H, we define ||f || Let f ∈ H and {UWij, ΛijPWijU∗,vij}j∈J,i∈[m] is a K − g−fusion woven for H with lowerbound C, we get C〈K∗f ,K∗f 〉≤ ∑ i∈[m] ∑ j∈J v2ij〈ΛijPWijU ∗PUWijf , ΛijPWijU ∗PUWijf 〉 = ∑ i∈[m] ∑ j∈J v2ij〈ΛijPWijU ∗f , ΛijPWijU ∗f 〉 ≤ B〈U∗f ,U∗f 〉.
    keywords: frame; i∈[m; woven; λij
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        item: #9 of 41
          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: 2022-11-10
       words: 6903
      flesch: 81
     summary: −vf (−e(x))‖6 δ(x), x ∈ X, (2.1) where u, v ∈ (−∞, +∞), and the mappings e : X → X, δ : X → [0,∞) satisfy that e is even ( i.e., e(−x) = e(x) for every x ∈ X). We will prove that ‖f (x) −unf (en(x)) −vnf (−en(x))‖6 γn(x), x ∈ X, (2.3) where γn(x) := n−1∑ i=0 [ |ui|δ ( ei (x) ) + |vi|δ ( −ei (x) )] , x ∈ X,n ∈N. First of all, consider with every m,n ∈N and it is easy to observe that un+1 = uun + uvn, vn+1 = vvn + vun, and un+m = umun + vmun, vn+m = umvn + vmvn.
    keywords: equation; mapping; math
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        item: #10 of 41
          id: ma-140
      author: Owino, Joseph Owuor
       title: Group Analysis of Equal-Width Equation
        date: 2023-02-09
       words: 5960
      flesch: 84
     summary: The one parameter groups dictate to the following generated solutions: T�1 : u =g(t,x + �1) T�2 : u =g(te −�2,x)e−�2, T�3 : u =g(te −�3 u ,x) − �3, T�4 : u =g(t + �4,x). Anal. 10.28924/ada/ma.3.13 14 Hence the group invariant solution to Equation to (1.1) will be given by u(t,x) = f (x) t , (3.55) where f satisfies Equation (3.54).(iii) X3 = ∂∂u − tu ∂∂tThe Lagrangian system associated with the operator X3 is dt − t u = dx 0 = du 1 , (3.56) whose invariants are J1 = x and J2 = tu.
    keywords: equation; group
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        item: #11 of 41
          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: 2023-03-03
       words: 5463
      flesch: 88
     summary: ≤ t ≤ T} be denoted by XT0 . H ≤ 11 16 for the QLSE.
    keywords: θ̃t; −σ2hθ̃t
       cache: ma-142.pdf
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        item: #12 of 41
          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: 2023-03-13
       words: 2781
      flesch: 72
     summary: ∈ Ω of the equation F (x) = 0, (1.1) Received: 26 Jan 2023. − tn (2.23) and 0 ≤ s∗ − sn ≤ t∗ − tn.
    keywords: convergence; math; newton
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        item: #13 of 41
          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: 2023-04-05
       words: 3667
      flesch: 76
     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]. Definition 1.1
    keywords: mapping
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        item: #14 of 41
          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: 2023-06-05
       words: 4625
      flesch: 78
     summary: index topological index of the general form, ⇒ SDD(G) = ∑[x1,x2∈E(G)] Now putting the values in generalconnectivity index topological index of the general form, ⇒ M1(G) = ∑[x2∈V (G)]
    keywords: edges; graph; index; p(k; petersen; tn =; vertices
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        item: #15 of 41
          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: 2023-06-05
       words: 4309
      flesch: 76
     summary: Ju = ‖u‖2−p Wm,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 , if 1 < p < 2; p− 1, if 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 ∈ E, wedefine the sequences {xn} and {yn} by{ yn = xn −θnJ−1(Axn), n ≥ 1 xn+1 = yn −λnJ−1(Ayn), n ≥ 1where λn and θn are positive real number and J is the duality mapping of E. Letting (λn,θn) ∈ (0, 1), then xn and yn converges strongly to ρ∗, a unique solution of the equation Ax = 0.
    keywords: banach; convex; monotone; spaces
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        item: #16 of 41
          id: ma-168
      author: Adeyemo, K. M.
       title: Local Stability Analysis of Onchocerciasis Transmission Dynamics With Nonlinear Incidence Functions in Two Interacting Populations
        date: 2023-08-07
       words: 3752
      flesch: 77
     summary: Consequently we obtain E0as E0 = ( Ψh(xi ) µh(xi ) , 0, 0, 0, Ψv µv , 0, 0 ) (3.1) A key notion in the analysis of infectious disease models is the basic reproduction number R0 , anepidemiological threshold that determines whether disease dies out or persists in the population. + µh(xi ))
    keywords: disease; equilibrium; i=0; µh(xi
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        item: #17 of 41
          id: ma-17
      author: Argyros, Ioannis K.
       title: Unified Convergence Analysis of Two-Step Iterative Methods for Solving Equations
        date: 2021-10-01
       words: 5474
      flesch: 82
     summary: tP0( η 1 − t ) ≤ sn − tn ≤ λ(tn − sn−1) ≤
    keywords: convergence; math; method
       cache: ma-17.pdf
  plain text: ma-17.txt

        item: #18 of 41
          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: 2023-06-27
       words: 4262
      flesch: 63
     summary: Epidemiologically, this impliesthat if a sufficiently large number of HIV infected individuals are introduced in a population thatis fully susceptible to HIV infection, the disease will die out whenever R0 < 1. 3.1. − − R0 > 1 1 05
    keywords: equilibrium; hiv; model; risk; system
       cache: ma-171.pdf
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        item: #19 of 41
          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: 2023-06-05
       words: 4011
      flesch: 80
     summary: A non-differentiable non-linear system is solved using the method (2), where the divided difference is defined by the 2×2 matrix given for t̄ = (t1,t2) ∈R×R, t̃ = (t3,t4) ∈R×R and G = (G1,G2) by [t̄, t̃; G]i,1 = Gi(t3,t4) −Gi(t1,t4) t3 − t1 , t3 6= t1 and [t̄, t̃; G]i,2 = Gi(t1,t4) −Gi(t1,t2) t4 − t2 , t4 6= t2. Anal. 10.28924/ada/ma.3.19 11 Then, we set G = (G1,G2), where G1(t1,t2)
    keywords: convergence; equations; math; method; order; −ξ‖
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        item: #20 of 41
          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: 2023-08-24
       words: 5396
      flesch: 83
     summary: lim t→0+ ‖CXtf ∗ − f ∗‖Bα1(D) = limt→0+ ( sup z∈D ( 1 −|z|2 )α |(CXtf ∗ − f ∗)′(z)|) . − t − i i(1+z)
    keywords: bloch; bα0; lim; space
       cache: ma-174.pdf
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        item: #21 of 41
          id: ma-24
      author: Owuor Owino, Joseph ; Okelo, Benard
       title: Lie Group Analysis of a Nonlinear Coupled System of Korteweg-de Vries Equations
        date: 2021-10-01
       words: 5590
      flesch: 81
     summary: Denoting Di = ∂ ∂x i + uαi ∂ ∂uα + uαij ∂ ∂uα j + . . . (x i,uα,�), ϕi ∣∣∣ �=0 = x i, ūα = ψα(x i,uα,�), ψα ∣∣∣ �=0 = uα, (8) where the symbol ∣∣∣ �=0 means evaluated on � = 0.
    keywords: equations; group; lie; symmetry; system
       cache: ma-24.pdf
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        item: #22 of 41
          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: 2021-10-01
       words: 8380
      flesch: 85
     summary: ≤ s ≤ k − 1, such that |As (z) | ≥ expp (αrσ) as |z| = r ∈ H, r → +∞, and ρ = max { ρp ( Aj ) (j 6= s) } < σ, then every non-transcendental meromorphic solution f 6≡ 0 of (1.1) is a polynomial with deg f ≤ s − 1 and every transcendental meromorphic solution f of (1.1) with λp ( 1 f ) < µp (f ) satisfies i (f ) = p ≤ s ≤ k − 1, such that |As (z) | ≥ expp (αrσ) as |z| = r ∈ H, r → +∞, and max { ρp ( Aj ) (j 6= s), ρp (F ) } < σ, then every non-transcendental meromorphic solution f of (1.2) is a polynomial with deg f ≤ s−1 and every transcendental meromorphic solution f of (1.2) with λp ( 1 f ) < min{σ,µp(f )} satisfies i (f ) = p + 1 λp (f ) = λp(f )
    keywords: logq; ρ[p
       cache: ma-25.pdf
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        item: #23 of 41
          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: 2021-10-01
       words: 8583
      flesch: 78
     summary: Math. 4(1956), 265–357.[8] C. Byrne, Iterative oblique projection onto convex sets and the split feasibility problem, Inverse Problems, 18(2)(2002), 441–453.[9] G. Cai, Y. Shehu, An iterative algorithm for fixed point problem and convex minimization problem with applications,Fixed Point Theory Appl. 2015 (2015) 7. https://doi.org/10.1186/s13663-014-0253-6.[10] −z‖ ≤ γ2(1 − (1 −γ)δs)‖ms −z‖ ≤ γ2(1 − (1 −γ)δs−1)‖ms−1 −z‖... ‖m1 −z‖ ≤ γ2(1 − (1 −γ)δ0)‖m0 −z‖. (3.12) Eur.
    keywords: algorithm; iterative; lim; mappings; math; −z‖
       cache: ma-27.pdf
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        item: #24 of 41
          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: 2022-02-08
       words: 2402
      flesch: 67
     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[P (x)|∇u|p−2∇u],the continuous function a(x) : Introduction: 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
       cache: ma-28.pdf
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        item: #25 of 41
          id: ma-30
      author: Yang, Zhijian ; Liu, Qi; Sarfraz,  Muhammad ; Li, Yongjin
       title: Some Aspects of Geometric Constants in Modular Spaces
        date: 2021-11-04
       words: 4330
      flesch: 87
     summary: +ρ2( x−y 2 ) ρ2(x)+ρ2(y) : x,y ∈ Xρ,ρ(x)=1,ρ(y)≤ 1 } . : x,y ∈ Xρ,ρ(x)=1,ρ(y)≤ 1 } .
    keywords: modular
       cache: ma-30.pdf
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        item: #26 of 41
          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: 2021-11-08
       words: 5711
      flesch: 86
     summary: For all υ > −1 and s,t ∈ [0,∞), (t ≥ s), we pose ϕυ(t,s) = (ϕ(t) −ϕ(s))υ. t ∈
    keywords: fractional; γ(α2; ϕγ2−1
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        item: #27 of 41
          id: ma-50
      author: Agwu, Imo Kalu; Igbokwe, Donatus Ikechi
       title: Convergence and Stability of New Approximation Algorithms for Certain Contractive-Type Mappings
        date: 2021-11-29
       words: 13269
      flesch: 90
     summary:  `3∑ j=2 α2n,j(ρ j)2 j−1∏ i=1 (1 −α2n,i)  ×  `4∑ j=2 α3n,j(ρ j)2 j−1∏ i=1 (1 −α3n,i) ‖y4n −q‖2 + ( `2∑ j=2 α1n,j(ρ j)2 j−1∏ i=1 (1 −α1n,i) ) ×  `3∑ j=2 α2n,j(ρ j)2 j−1∏ i=1 (1 −α2n,i) −q‖2 + (ρj)2 ( `2∏ i=1 (1 −α1n,i)(ρ j)2 ) ×(ρj)2 ( `3∏ i=1 (1 −α2n,i)(ρ j)2 ) (ρj)2 ( `4∏ i=1 (1 −α3n,i)(ρ j)2 )
    keywords: i)(ρ; j j−1∏; j(ρ j)2; j)2 j−1∏; j=2; j−1∏ i=1; −q‖; −q‖2; −α1n; −α2n; −δn
       cache: ma-50.pdf
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        item: #28 of 41
          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: 2022-03-04
       words: 4268
      flesch: 84
     summary: T is called k-strictly pseudocontraction (see, for example, [9]) if there exists k ∈ (0, 1] such that for all s,z ∈ K, the inequality ‖Ts −Tz‖2 ≤‖s −z‖2 + k‖(I −T )s − (I −T )z‖2 (1.2) hods. For an arbitrary x0 ∈ K, define the sequence {xn}∞n=0 iteratively as follows. xn+1
    keywords: fixed; mapping; math; −αq‖2
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        item: #29 of 41
          id: ma-53
      author: Argyros, Ioannis K.; George, Santhosh ; Argyros, Christopher  I.
       title: On the Ostrowski Method for Solving Equations
        date: 2021-12-10
       words: 5134
      flesch: 85
     summary: [(1 −θ)‖x̄ −x0‖ + θ‖x∗ −x0‖]dθ ≤ L0 2 (s̄ + s∗) < 1, so x̄ = x∗ since M−1 exists and M(x∗ − x̄) = F (x∗) ≤ tn+1 − sn ≤ δ(sn − tn) ≤
    keywords: anal; convergence; math; method; newton; tn+1; −x∗‖
       cache: ma-53.pdf
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        item: #30 of 41
          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: 2022-01-06
       words: 6852
      flesch: 84
     summary: in Q, (5.38) u� ⇀ u in L∞(0,T ; H3Γ(Ω)), (5.39) u�t ⇀ ut in L2(0,T ; H10 (Ω) ∩H2(Ω)), (5.40) u�tt ⇀ utt in L2(0,T ; H−1(Ω)), (5.41) |u�|r−2u� ln |u�| ⇀ − (−∆u � p(t)),v〉pθ(t)dt ∣∣∣∣ = ∣∣∣∣∫ T 0 ∫ Ω ( |∇u�m(t)|p−2∇u�m(t) −|∇u�(t)|p−2∇u�(t) ) ∇v dx θ(t) dt ∣∣∣∣ ≤ C|θ|∞ ∫ T 0 ∫ Ω ( |∇u�m(t)|p−2 + |∇u�(t)|p−2 ) |∇u�m(t) −∇u�(t)||∇v|dx dt ≤ C1 ∫
    keywords: h10; math
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        item: #31 of 41
          id: ma-58
      author: Rossafi, Mohamed; El Jazzar, Roumaissae; Kacha, Ali
       title: ∗-K-Operator Frame for Hom∗A(X)
        date: 2021-12-16
       words: 3587
      flesch: 79
     summary: Let {Ti}i∈I ⊂ Hom∗A(X) be an ∗-K-operator frame for X with bounds A and B and frame operators ST and {Pj}j∈J ⊂ Hom∗B(Y) be an ∗-L-operator frame for K with bounds C and D and frame operators SL. Then by the uniqueness of frame operator, the last expression is equal to ST⊗P (ξ⊗η).
    keywords: frame; hilbert; i∈i; operator; pro
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        item: #32 of 41
          id: ma-60
      author: Bishwal, Jaya P. N.
       title: On the Stratonovich Estimator for the Itô Diffusion
        date: 2022-01-31
       words: 3981
      flesch: 74
     summary: Anal. 10.28924/ada/ma.2.7 2 model 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) obtained the strong consistency of the CLSE under some regularity conditions as n → ∞assuming that T = dn1/2 for some fixed real number d > 0.Note that the conditional least squares estimator (CLSE) of θ is defined as θn,T := arg min θ∈Θ Qn,T (θ) where Qn,T (θ) = n∑ i=1 [ Xti −Xti−1 − f (θ,Xti−1 )h ]2 ∆ti . Let ∼ l n,T (θ) := log ∼ Ln,T (θ) and v(θ,x) := f (θ,x) − f (θ0,x).
    keywords: i=1; xti−1
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        item: #33 of 41
          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: 2022-01-17
       words: 2931
      flesch: 80
     summary: That is, F (q, p̂) ≤ 0, ∀q ∈ C. (24) Further for any λ ∈ (0 , 1) and q ∈ C, let qλ = λq q ∈ C, which is equivalent to 3rq2
    keywords: −p‖2
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        item: #34 of 41
          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: 2022-03-17
       words: 2669
      flesch: 82
     summary: Combining conditions used for definitions of C∗-algebra valued metric and generalized metricspaces, G Kalapana and Tasneem [4] announced the notions of C∗-algebra valued metric space andestablish nice results of fixed point on such space. fixed point; C∗-algebra valued metric spaces; α − ψ− contraction; α − ψ − C∗ valuedcontraction.
    keywords: c∗-algebra; point
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        item: #35 of 41
          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: 2022-02-17
       words: 6976
      flesch: 70
     summary: nonlinear Black-Scholes PDE; option pricing; volatility model; finite volume method; finitedifference method. 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]
    keywords: black; equation; finite; math; model; option; pricing; schemes; scholes; volatility; σ̃ σ
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        item: #36 of 41
          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: 2022-03-18
       words: 2361
      flesch: 81
     summary: Analytic functions; Carathéodory functions; univalent functions; bounded turning function;coefficient bound; inclusion property and q-calculus. Since class BT q(δ) is well-known to consist of univalent functions, then Eq(β,δ)⊂BT q(δ) consists of univalent functions.
    keywords: functions; math
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        item: #37 of 41
          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: 2022-04-04
       words: 4535
      flesch: 87
     summary: − 2K(sn − tn) . 3M−1n F (xn), (1.1) for solving the nonlinear equation F (x) = 0, (1.2) where Mn = 2F ′(3xn+yn4 )− F ′(xn+yn2 )
    keywords: convergence; math; scheme
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        item: #38 of 41
          id: ma-86
      author: Bishwal, Jaya P. N.
       title: Quasi-likelihood Estimation in Fractional Levy SPDEs from Poisson Sampling
        date: 2022-04-25
       words: 5154
      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; math; process; stochastic
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        item: #39 of 41
          id: ma-88
      author: Zhou, Chuanjiang; Liu, Qi; Li, Yongjin
       title: A New Approximate Birkhoff Orthogonality Type
        date: 2022-05-09
       words: 5509
      flesch: 84
     summary: If we want x� ⊥B y, then the inequality ‖x + ty‖≥ (1 −�)‖x‖ should hold for all t ∈R, thus we have: ‖(1 + tz,t(1 −z))‖≥ 1 − � t ∈R. https://doi.org/10.28924/ada/ma.2.16 Eur. In order to satisfy x ⊥I� y or equivalently |‖x +y‖2−‖x−y‖2| ≤ 4�‖x‖‖y‖, the following inequality shuold hold: |‖(1 + c, 1)‖2 −‖(1 −c,−1)‖2|
    keywords: orthogonality
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        item: #40 of 41
          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: 2021-09-01
       words: 6099
      flesch: 84
     summary: ds + ∫ t ξk C(t −s) + k∑ i=1 k∏ j=i bj(δj) × ∫ ξi ξi−1 C(t −s)h(s,xs)ds + ∫ t ξk C(t −s)h(s,xs)ds + k∑ i=1 k∏ j=i bj(δj) ∫ ξi ξi−1 S(t −s) ×
    keywords: max{1,n2}(t; s(t; t t0
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        item: #41 of 41
          id: ma-99
      author: Bishwal, Jaya P. N.
       title: Parameter Estimation for SPDEs Driven by Cylindrical Stable Processes
        date: 2022-07-11
       words: 9138
      flesch: 73
     summary: When 1 < α < 2, Zj,t is stable process with Levy measure να(dz) = 1{z>0}dz αΓ(−α)zα+1 . E. Priola, J. Zabczyk, Structural properties of semilinear SPDEs driven by cylindrical stable processes, Probab.
    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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