[{"id": "ma-10", "words": "4691", "extension": ".pdf", "flesch": "77", "author": "Mendy, Sang B; Mendy, John T; Jobe, Alieu ", "title": "The Generalized Viscosity Implicit Rules of Asymptotically Nonexpansive Mappings in Hilbert Spaces", "date": "2021", "keywords": "lim; q\u20162", "summary": "+ \u03b2n(\u03c8(q)\u2212 q) + \u03b1n(un \u2212 q), un+1 \u2212 q\u3009 \u2264 (1\u2212 \u03b2n)2\u2016vn \u2212 q\u20162 + 2\u03b2n\u2016\u03c8(xn)\u2212 \u03c8(q)\u2016\u2016un+1 \u2212 q\u2016+ 2\u03b1n\u2016un \u2212 q\u2016\u2016un+1 \u2212 q\u2016 +2\u03b2n\u3008\u03c8(q)\u2212 q, un+1 \u2212 q\u3009 \u2264 (1\u2212 \u03b2n)2\u2016vn \u2212 q\u20162 + 2\u03b2n\u03b1\u2016un \u2212 q\u2016\u2016un+1 \u2212 q\u2016+ 2\u03b1n\u2016un \u2212 q\u2016\u2016un+1 \u2212 q\u2016 +2\u03b2n\u3008\u03c8(q)\u2212 q, un+1 \u2212 q\u3009 \u2264 (1\u2212 \u03b2n)2\u2016vn \u2212 q\u20162 + (2\u03b2n\u03b1+ 2\u03b1n)\u2016un \u2212 q\u2016\u2016un+1 \u2212 q\u2016+ 2\u03b2n\u3008\u03c8(q)\u2212 q, un+1 \u2212 q\u3009 \u2264 \u03b32ns 2 nk 2 n\u2016un \u2212 q\u20162 + \u03b32n(1\u2212 sn)2k2n\u2016un+1 \u2212 q\u20162 + [ \u03b32nsn(1\u2212 sn)k2n + 2(\u03b2n\u03b1+ \u03b1n) ] \u2016un \u2212 q\u2016\u2016un+1 \u2212 q\u2016 +2\u03b2n\u3008\u03c8(q)\u2212 q, un+1 \u2212 q\u3009 (3.19) Eur. J. Math.", "mime": "application/pdf"}, {"id": "ma-100", "words": "5672", "extension": ".pdf", "flesch": "50", "author": "Azizi, Tahmineh", "title": "Analysis of Neuronal Oscillations of Fractional-Order Morris-Lecar Model", "date": "2022", "keywords": "ada; anal; bifurcation; current; eur; fractional; https://doi.org/10.28924/ada/ma.3.2; iapp; lecar; math; model; morris; order", "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 \u03b7 = 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.", "mime": "application/pdf"}, {"id": "ma-104", "words": "3581", "extension": ".pdf", "flesch": "80", "author": "Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh ; Argyros, Michael I.", "title": "Updated and Weaker Convergence Criteria of Newton Iterates for Equations", "date": "2022", "keywords": "anal; convergence", "summary": "\u2212 xi+1\u2016 \u2264 \u2016v \u2212 xi+2\u2016+ \u2016xi+2 \u2212 xn\u2016 \u2264 s\u2217 \u2212 sn (3.1) hold \u2200n = 0, 1, 2, . . . .", "mime": "application/pdf"}, {"id": "ma-105", "words": "13710", "extension": ".pdf", "flesch": "75", "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", "keywords": "ada; anal; eur; hcv; https://doi.org/10.28924/ada/ma.3.1; infection; math; max; model; sup; system; \u03b12v", "summary": "[ dH\u2217 + \u03b1I\u2217 \u2212 dH \u2212 (1\u2212 \u03b7)\u03b2HV (1 + \u03b11H)(1 + \u03b12V ) + \u03c1I ] \u2212 I\u2217 I \uf8ee\uf8f0(1\u2212 \u03b7) (1+\u03b11H \u2217)(1+\u03b12V \u2217)(\u03b1+\u03c1)I\u2217 (1\u2212\u03b7)H\u2217V \u2217 HV (1 + \u03b11H)(1 + \u03b12V ) \u2212 (\u03b1+ \u03c1)I \uf8f9\uf8fb\u2212 (\u03b1+ \u03c1)I V \u2217 V + (\u03b1+ \u03c1)\u00b5 (1\u2212 \u03b5)k V \u2217, = [ dH\u2217 + (\u03b1+ \u03c1)I\u2217 \u2212 \u03c1I\u2217 \u2212 dH \u2212 \u03b1I \u2212 (\u03b1+ \u03c1)I\u2217 V V \u2217 ] \u2212 [H\u2217 H 1 + \u03b11H 1 + \u03b11H\u2217 dH\u2217 + H\u2217 H 1 + \u03b11H 1 + \u03b11H\u2217 \u03b1I\u2217 \u2212 1 + \u03b11H 1 + \u03b11H\u2217 dH\u2217 \u2212 V V \u2217 1 + \u03b12V \u2217 1 + \u03b12V (\u03b1+ \u03c1)I\u2217 + H\u2217 H 1 + \u03b11H 1 + \u03b11H\u2217 \u03c1I ] + (\u03b1+ \u03c1)I\u2217 [ 1\u2212 HI\u2217V (1 + \u03b11H \u2217)(1 + \u03b12V \u2217) Then, the computation of the derivative of G2 with respect to t yields : dG2 dt = [ \u03bb\u2212 dH \u2212 \u03b1I \u2212 (\u03b1+ \u03c1)\u00b5 (1\u2212 \u03b5)k V ] \u2212 (\u03b1+ \u03c1)I\u2217 (1 + \u03b11H)(1 + \u03b12V \u2217) (1\u2212 \u03b7)\u03b2HV \u2217 [ \u03bb\u2212 dH \u2212 (1\u2212 \u03b7)\u03b2HV (1 + \u03b11H)(1 + \u03b12V ) + \u03c1I ] \u2212 I\u2217 I", "mime": "application/pdf"}, {"id": "ma-11", "words": "4189", "extension": ".pdf", "flesch": "83", "author": "Sahir, Muhammad Jibril Shahab", "title": "Coordination of Classical and Dynamic Inequalities Complying on Time Scales", "date": "2023", "keywords": "inequality", "summary": "We explore dynamic inequalities on delta calcu-lus and their symmetric nabla versions. Thishybrid theory is also widely applied on dynamic inequalities.", "mime": "application/pdf"}, {"id": "ma-115", "words": "6471", "extension": ".pdf", "flesch": "68", "author": "Waphare, B. B.; Shaikh, R. Z.", "title": "Fractionalization of Hankel Type Integral Transforms and Their Relevance", "date": "2022", "keywords": "hankel; operator; order; transform; type", "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.", "mime": "application/pdf"}, {"id": "ma-117", "words": "6074", "extension": ".pdf", "flesch": "75", "author": "Badibi, O. C.; Ramadhani, I.; Ndondo, M. A.; Kumwimba, S. D.", "title": "Numerical Stabilities of Vasicek and Geometric Brownian Motion Models", "date": "2023", "keywords": "euler; maruyama; mean; scheme; \u03b81\u2206t; \u03b82\u2206t", "summary": "In this article we establish and prove the conditions of numerical schemes stabilities in Mean andMean-square. Stochastic numerical schemes.", "mime": "application/pdf"}, {"id": "ma-119", "words": "7285", "extension": ".pdf", "flesch": "67", "author": "Nyabonyi, J. Z.; Okelo, N. B.; Obogi, R. K.", "title": "On Norm Estimates for Derivations in Norm-Attainable Classes", "date": "2023", "keywords": "b(h; derivation; elementary; math; norm; operators; proof", "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;", "mime": "application/pdf"}, {"id": "ma-12", "words": "8110", "extension": ".pdf", "flesch": "85", "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", "keywords": "lim; n=1; q\u2016+; \u2016xn", "summary": "\u2212 u\u2016 \u2212 \u2016xn+1 \u2212 Sn,mu\u2016) = \u03c8\u22121(\u2016(xn \u2212 u\u2016 \u2212 \u2016xn+1 \u2212 u + u \u2212 Sn,mu\u2016) \u2264 \u03c8\u22121(\u2016(xn \u2212 u\u2016 \u2212 (\u2016xn+1 \u2212 u\u2016+ \u2016Sn,mu \u2212 u\u2016)), (3.58) so that the sequence {bn.m} converges uniformly to 0, i.e, bn,m \u2192 0 as n \u2192\u221e. Since limn\u2192Bn = 1and limn\u2192\u221e bn,m = 0, it follows from (3.57) that lim supn\u2192\u221e an(t) \u2264 lim infb\u2192\u221e bn.m \u2264 lim infn\u2192\u221e \u03bd (1) n \u2264 \u2016Sn2xn \u2212 T2(PT2)n\u22121zn\u2016+ \u2016yn \u2212 xn\u2016+Mhn(\u2016zn \u2212 xn\u2016) +", "mime": "application/pdf"}, {"id": "ma-125", "words": "4336", "extension": ".pdf", "flesch": "84", "author": "Nhari, Fakhr-dine; Rossafi, Mohamed", "title": "Woven K-g-Fusion Frames in Hilbert C\u2217-Modules", "date": "2023", "keywords": "i\u2208[m; j f; jpwi j; \u03bbi j", "summary": "Assume that f \u2208 H and {\u03c3i}i\u2208[m] \u2208 J, so \u2211 i\u2208[m] \u2211 j\u2208\u03c3i v2 i j \u3008\u039bi jPW\u0303i j f ,\u039bi jPW\u0303i j f \u3009 = \u2211 i\u2208[m] \u2211 j\u2208\u03c3i v2 i j \u2211 k\u2208Ii j \u3008\u039bi jPW\u0303i j f , f (k) i j \u3008\u039bi jPWi j fn,\u039bi jPWi j fn\u3009 < 1 n \u3008K\u2217fn, K\u2217f1\u3009, where, Kn = \u222ai\u2265kn+1Jj .", "mime": "application/pdf"}, {"id": "ma-134", "words": "7089", "extension": ".pdf", "flesch": "78", "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", "keywords": "equation; math", "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", "mime": "application/pdf"}, {"id": "ma-140", "words": "5780", "extension": ".pdf", "flesch": "82", "author": "Owino, Joseph Owuor", "title": "Group Analysis of Equal-Width Equation", "date": "2023", "keywords": "equation; group", "summary": "= \u03c4u = \u03beu 10.28924/ada/ma.3.13 13 dt 0 = dx 1 = du 0 , (3.46) yield two invariants, J1 = t and J2 = u.", "mime": "application/pdf"}, {"id": "ma-142", "words": "5508", "extension": ".pdf", "flesch": "84", "author": "Bishwal, Jaya P. N.", "title": "On the Kolmogorov Distance for the Least Squares Estimator in the Fractional Ornstein-Uhlenbeck Process", "date": "2023", "keywords": "t \u2212\u03c32h; \u03b8\u0303t; \u2212 \u03b8; \u2212\u03c32h \u03b8\u0303t", "summary": "IT \u2212 2H ( T \u2212\u03c32H \u03b8\u0303T )1/2 \u03c32Hb0\u03b8x \u21d2 2H ( T \u2212\u03c32H \u03b8\u0303T )1/2 (\u03b8\u0303T \u2212 \u03b8)[IT \u2212 b0T (\u03b8T \u2212 \u03b8)] > x \uf8ee\uf8f0IT \u2212 2H ( T \u2212\u03c32H \u03b8\u0303T )1/2 2b0\u03b8x \uf8f9\uf8fb \u21d2 (\u03b8\u0303T \u2212 \u03b8)IT \u2212 b0T (\u03b8\u0303T \u2212 \u03b8)2 > ( \u2212\u03c32H\u03b8 4TH2 )1/2 IT x \u2212 \u03c32Hb0\u03b8x2 \u21d2 \u2212NT + (\u03b8\u0303T \u2212 \u03b8)IT \u2212 b0T (\u03b8T \u2212 \u03b8)2 > \u2212NT + ( \u2212\u03c32H\u03b8 4TH2 )1/2 IT x \u2212 \u03c32Hb0\u03b8x2 \u21d2 0 > \u2212NT + ( \u2212\u03c32H\u03b8 4TH2 )1/2 IT x \u2212 \u03c32Hb0\u03b8x2 since IT \u2212 b0T (\u03b8\u0303T \u2212 \u03b8) > Tc0 \u2212 b0T (\u03b8\u0303T \u2212 \u03b8) > 2\u03c32Hb0(logT )1/2 ( \u2212\u03c32H\u03b8 4TH2 )1/2 \u2212 \u03c32Hb0(logT )1/2 ( \u2212\u03c32H\u03b8 4TH2 )1/2 = \u03c32Hb0(logT )1/2 ( \u2212\u03c32H\u03b8 4TH2 )1/2 > 0. [IT \u2212 ( T \u2212\u03c32H \u03b8\u0303T )1/2 \u03c32Hb0\u03b8x ] \u21d2 (\u03b8\u0302T \u2212 \u03b8)IT \u2212 b0T (\u03b8\u0302T \u2212 \u03b8)2 > ( T \u2212\u03c32H \u03b8\u0303T )\u22121/2 IT x \u2212 \u03c32Hb0\u03b8x2 \u21d2 \u2212MT + (\u03b8\u0302T \u2212 \u03b8)IT \u2212 b0T (\u03b8\u0302T \u2212 \u03b8)2 > \u2212MT + ( T \u2212\u03c32H \u03b8\u0303T )\u22121/2 IT x \u2212 \u03c32Hb0\u03b8x2 \u21d2 0 > \u2212MT + ( \u2212\u03c32H \u03b8\u0303T T )1/2 IT x \u2212 \u03c32Hb0\u03b8x2 since IT \u2212 b0T (\u03b8\u0302T \u2212 \u03b8) > Tc0 \u2212 b0T (\u03b8\u0302T \u2212 \u03b8) > 2\u03c32Hb0(logT )1/2 ( \u2212\u03c32H \u03b8\u0303T T )1/2 \u2212 \u03c32Hb0(logT )1/2 ( \u2212\u03c32H \u03b8\u0303T T )1/2 = \u03c32Hb0(logT )1/2 ( \u2212\u03c32H \u03b8\u0303T T )1/2 > 0.", "mime": "application/pdf"}, {"id": "ma-154", "words": "2830", "extension": ".pdf", "flesch": "71", "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", "keywords": "convergence; newton", "summary": "\u2212 xn\u2016 \u2264 s\u2217 \u2212 sn, (2.19) where, limn\u2212\u2192\u221e sn = s\u2217 = 1\u2212 \u221a 1\u22122H K\u03b1 and s\u2217\u2217 = 1+ \u221a 1\u22122H K\u03b1 . \u2212 tn (2.23) and 0 \u2264 s\u2217 \u2212 sn \u2264 t\u2217 \u2212 tn.", "mime": "application/pdf"}, {"id": "ma-166", "words": "5010", "extension": ".pdf", "flesch": "82", "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", "keywords": "graph; index; p(k; petersen; vertices", "summary": "index topological index of the general form, \u21d2 SDD(G) Now putting the values in generalconnectivity index topological index of the general form, \u21d2 M1(G)", "mime": "application/pdf"}, {"id": "ma-167", "words": "4410", "extension": ".pdf", "flesch": "75", "author": "Mendy, Furmose; Mendy, John T", "title": "A Modified Algorithms for New Krasnoselskii's Type for Strongly Monotone and Lipschitz Mappings", "date": "2023", "keywords": "convex; monotone", "summary": "\u2212 \u03c1\u2217\u20162 \u2212 2\u03b8nk\u2016xn \u2212 \u03c1\u2217\u20162 + d2\u2016xn \u2212 \u03c1\u2217\u20162 = ( \u03b82nL 2 \u2212 2k\u03b8n + d2 ) \u2016xn \u2212 \u03c1\u2217\u20162 (3.4) Again, with the fact that 0 < ( \u03b82nL 2 \u2212 2k\u03b8n + d2 ) Wm,p : Ju = \u2016u\u20162\u2212pWm,p \u2211 |\u03b1\u2264m| (\u22121)|\u03b1|D\u03b1(|D\u03b1u|p\u22122D\u03b1u) \u2208 W\u2212m,p In Lp, `p and Wm,p spaces for 1 < p <\u221e are q\u2212uniformly smooth real Banach spaces with q, as q = min{2, p} and dq \u2265 1 (2.2) is given by dq = { 1+\u03c4q\u22121 (1+\u03c4)q\u22121 , i f 1 < p < 2; p \u2212 1, i f 2 \u2264 p <\u221e. (2.3) and \u03c4(0, 1) as the unique solution of the equation (q \u2212 2)tq\u22121 + (q \u2212 1)tq\u22122 \u2212 1 = 0 It is well known that \u2022 E is smooth if and only if J is single-valued. \u2022", "mime": "application/pdf"}, {"id": "ma-168", "words": "3712", "extension": ".pdf", "flesch": "70", "author": "Adeyemo, K. M.", "title": "Local Stability Analysis of Onchocerciasis Transmission Dynamics With Nonlinear Incidence Functions in Two Interacting Populations", "date": "2023", "keywords": "disease; i=0; \u00b5h(xi", "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) \u2212 \u00b5h(xi)Sh + w(xi)Rh(t, xi)) dEh(t,xi ) dt = \u2211L i=0 \u03b4\u03bbh(xi )Sh(t,xi )", "mime": "application/pdf"}, {"id": "ma-17", "words": "5638", "extension": ".pdf", "flesch": "79", "author": "Argyros, Ioannis K.", "title": "Unified Convergence Analysis of Two-Step Iterative Methods for Solving Equations", "date": "2021", "keywords": "convergence; math", "summary": "\u2212 x\u2217\u2016)\u2016xm \u2212 x\u2217\u2016 \u2264 \u2016xm \u2212 x\u2217\u2016 < R (4.10)and \u2016xm+1 \u2212 x\u2217\u2016 \u2264 \u03c82(\u2016xm \u2212 x\u2217\u2016)\u2016xm \u2212 x\u2217\u2016 \u2264 \u2016xm \u2212 x\u2217\u2016. (4.11)Then, by the estimation \u2016xm+1 \u2212 x\u2217\u2016 \u2264 d\u2016xm \u2212 x\u2217\u2016 < R, (4.12)where d = \u03c82(\u2016x0 \u2212 x\u2217\u2016) \u2208 = yn \u2212 F \u2032(xn)\u22121F (yn), (1.3) Newton", "mime": "application/pdf"}, {"id": "ma-170", "words": "4963", "extension": ".pdf", "flesch": "80", "author": "Kumar, Sunil ; Sharma, Janak Raj ; Argyros, Ioannis K.; Regmi, Samundra", "title": "Seventh Order Derivative-Free Methods for Non-differentiable Operator Equations", "date": "2023", "keywords": "convergence; math; method; \u2212 x0\u2016; \u2212 x\u2217\u2016", "summary": "Consequently, we have \u2016xn+1 \u2212 zn\u2016 \u2264 \u03b2\u0304n(1 + w0(\u2016yn \u2212 x0\u2016, \u2016zn \u2212 x0\u2016))\u2016zn \u2212 yn\u2016 1\u2212 w0(f1(\u2016xn = (I + L+ LL\u22121([xn, x \u2217;F ]\u2212 L))(xn \u2212 x\u2217), so \u2016un \u2212 x\u2217\u2016 \u2264 ( \u2016I + L\u2016+ (\u2016L\u2016w(\u2016(xn \u2212 x\u2217)\u2016)) ) \u2016(xn \u2212 x\u2217)\u2016.Thus, we can choose f1(t)", "mime": "application/pdf"}, {"id": "ma-171", "words": "4282", "extension": ".pdf", "flesch": "61", "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", "keywords": "hiv; model; risk; system; \ufffd \ufffd", "summary": "The Zeros of the characteristic equation (14) Cases c0 c1 c2 c3 R0 > 1 Sign Change No. of - Roots1 + \u2212 \u2212 + R0 > 1 2 2,02 + \u2212 + + R0 > 1 2 2,03 \u2212 \u2212 + \u2212 R0 > 1 2 2,04 + + \u2212 \u2212 R0 > 1 1 05 \u2212 \u2212 + + R0 > 1 1 06 + + + \u2212 R0 > 1 1 07 \u2212 + \u2212 + R0 > 1 3 3,18 \u2212 \u2212 \u2212 \u2212 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. \u2212 \u03b1b1b6b8 \u2212 \u03b1b1b4b10 + b2b4b7Q2 + b1b5b8Q2 \u2212 b1b4b9Q2 \u2212 b1b4Q1Q2The number of negative zeros of equation (14) depends on the signs of c0, c1, c2 and c3.", "mime": "application/pdf"}, {"id": "ma-172", "words": "4261", "extension": ".pdf", "flesch": "80", "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", "keywords": "convergence; math; method; order; \u2212 x0\u2016", "summary": "\u2264 1 1\u2212 \u03d50(\u03b41(\u2016xn \u2212 \u03be\u2016), \u03b42(\u2016xn \u2212 \u03be\u2016)) , yn \u2212 \u03be = A\u22121n (An \u2212 [xn, \u03be;G])(xn \u2212 \u03be), \u2016yn \u2212 \u03be\u2016 \u2264 \u03d5(\u2016xn \u2212 \u03be\u2016, \u2016wn \u2212 \u03be\u2016, \u2016sn \u2212 \u03be\u2016)\u2016xn \u2212 \u03be\u2016 1\u2212 \u03d50(\u03b41(\u2016xn \u2212 \u03be\u2016), \u03b42(\u2016xn \u2212 \u03be\u2016)) \u2264 h1(\u2016xn \u2212 \u03be\u2016)\u2016xn \u2212 \u03be\u2016 \u2264 \u2016xn \u2212 \u03be\u2016 < r. Similarly, \u2016zn \u2212 \u03be\u2016 \u2264 \u03d5(\u2016yn \u2212 \u03be\u2016, \u2016wn \u2212 \u03be\u2016, \u2016sn \u2212 \u03be\u2016)\u2016yn \u2212 \u03be\u2016 1\u2212 \u03d50(\u03b41(\u2016xn \u2212 \u03be\u2016), \u03b42(\u2016xn \u2212 \u03be\u2016)) \u2264 h2(\u2016xn \u2212 \u03be\u2016)\u2016xn \u2212 \u03be\u2016 \u2264 \u2016xn \u2212 \u03be\u2016, xn+1 \u2212 \u03be = zn \u2212 \u03be \u2212 A\u22121n G(zn)\u2212 [(p + q + r + d \u2212 1)I + (q + 2r + 3d)(A\u22121n", "mime": "application/pdf"}, {"id": "ma-173", "words": "3798", "extension": ".pdf", "flesch": "82", "author": "Argyros, Ioannis K.; Joshi, Janak; Regmi, Samundra", "title": "Two Point Iterative Schemes for Nondifferentiable Equations in Banach Space", "date": "2023", "keywords": "convergence; scheme; x\u2217\u2016", "summary": "Then, by the scheme (1.2) for n replaced by n + 1, we obtain: \u2016xn+2 \u2212 xn+1\u2016 \u2264 \u2016A(xn+1, xn)\u22121P\u2016\u2016PF (xn+1)\u2016 \u2264 v(\u03b3n+1 \u2212 \u03b3n, \u03b3n \u2212 \u03b3n\u22121) 1\u2212 v0(\u2016xn+1 \u2212 x0\u2016, \u2016xn \u2212 x0\u2016) \u2264 v(\u03b3n+1 \u2212 \u03b3n, \u03b3n \u2212 \u03b3n\u22121)(\u03b3n+1 \u2212 \u03b3n) 1\u2212 v0(\u03b3n+1, \u03b3n)and \u2016xn+2 \u2212 x0\u2016 \u2264 \u2016xn+2 x1 \u2212 x\u2217 = x0 \u2212 x\u2217 \u2212 A(x0 \u2212 x\u22121)\u22121F (x0)", "mime": "application/pdf"}, {"id": "ma-174", "words": "5639", "extension": ".pdf", "flesch": "82", "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", "keywords": "bloch; b\u03b10; lim", "summary": "Therefore \u2016C\u03d5t f \u2212 f \u2016B\u03b1(U) Therefore \u2016C\u03d5t f \u2212 f \u2016B\u03b1(U)", "mime": "application/pdf"}, {"id": "ma-179", "words": "5560", "extension": ".pdf", "flesch": "80", "author": "Bishwal, Jaya P. N.", "title": "On the Kolmogorov Distance for the Maximum Likelihood Estimator in the Explosive Ornstein-Uhlenbeck Process", "date": "2023", "keywords": "e\u03b8t; e\u22122\u03b8t; \u03b8t \u2212", "summary": "10.28924/ada/ma.3.25 4 i.e., e\u22122\u03b8T IT D\u2192 \u03be2 2\u03b8 as T \u2192\u221e.It can be shown that e\u22122\u03b8T IT \u2192 \u03be2 2\u03b8 almost surely as T \u2192\u221e. (1.18)By It\u00f4 formula, we have ZT = \u222b T 0 XsdWs = \u222b T 0 e\u03b8s\u03besdWs = \u222b T 0 \u03besd\u03b7s = \u03beT\u03b7T \u2212 T \u2212 \u222b T 0 \u03b7sd\u03bes = \u03beT\u03b7T \u2212 T \u2212 \u222b T 0 \u03b7se \u2212\u03b8sdWs . \u2212 \u03be)2 \u2192 0 as T \u2192\u221e, (2.21) E(\u03bet \u2212 \u03bes)2 \u2264 C(t \u2212 s).", "mime": "application/pdf"}, {"id": "ma-182", "words": "4242", "extension": ".pdf", "flesch": "79", "author": "Tissinam, Yaovi A.; Issa, Abudula\u00ef; Mensah, Yaogan", "title": "On a Generalization of (L\u03c91, L\u03c9p)-Multipliers", "date": "2023", "keywords": "l1\u03c9(g; multipliers", "summary": "We denote by L1\u03c9(G) this new Banach algebra ; in other words L1\u03c9(G) = (L1\u03c9(G), \u2016 \u00b7 \u20161,\u03c9, \u2217\u03c9).For s \u2208 G, define the operator \u0393s\u03c9 by \u0393s\u03c9f (x) = \u03c4sM\u03c9f (x) \u03c9(x) , f \u2208 L1\u03c9(G), where M\u03c9 is the multiplication operator defined by (M\u03c9f )(x) = \u03c9(x)f (x) and \u03c4s is the translation operator defined by (\u03c4s f )(x) = f (s\u22121x). Also, define \u00b5 \u2217\u03c9 f (x) = \u222b G f (y\u22121x) \u03c9(y)\u03c9(y\u22121x) \u03c9(x) d\u00b5(y) for f \u2208 L1\u03c9(G) and \u00b5 \u2208 M1\u03c9(G).", "mime": "application/pdf"}, {"id": "ma-198", "words": "7342", "extension": ".pdf", "flesch": "79", "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", "keywords": "anal; lim; math; xn)\u2212; \u2212 q\u20162", "summary": "PK\u0398\u2016 \u2264 \u2016[I + (\u03b10\u03b3f \u2212 \u03b7\u03b10B)]x \u2212 ([I + (\u03b10\u03b3f \u2212 \u03b7\u03b10B)]y)\u2016 \u2264 \u03b10\u03b3\u2016f (x)\u2212 f (y)\u2016+ \u2016(I \u2212 \u03b7\u03b10B)x \u2212 (I \u2212 \u03b7\u03b10B)y\u2016 \u2264 \u03b10\u03b3\u03c1\u2016x \u2212 y\u2016+ (I \u2212 \u03b1\u03c4)\u2016x \u2212 q\u20162 + (1\u2212 \u03b2n)\u2016un \u2212 q\u20162 \u2212 (1\u2212 \u03b2n)\u03b2n\u2016un \u2212 yn\u20162 \u2264 \u03b2n\u2016yn", "mime": "application/pdf"}, {"id": "ma-199", "words": "4132", "extension": ".pdf", "flesch": "78", "author": "Jahan, Shah; Johnson, P. Sam", "title": "Frame Operators for Frames in Krein Spaces", "date": "2024", "keywords": "frame; krein; space", "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.", "mime": "application/pdf"}, {"id": "ma-203", "words": "7028", "extension": ".pdf", "flesch": "72", "author": "Bishwal, Jaya P. N.", "title": "Conditional Least Squares Estimation for Fractional Super Levy Processes in Nonlinear SPDEs", "date": "2024", "keywords": "fractional; levy; math; process; processes; stochastic", "summary": "For a large class of Levy processes, MH is neither a semimartingale.3)MH is H\u00f6lder continuous of any order \u03b2 less than H \u2212 1 2 . 4) MH has stationary increments. 3) SH is H\u00f6lder continuous of any order \u03b2 less than H \u2212 1 2 . 4)", "mime": "application/pdf"}, {"id": "ma-207", "words": "3786", "extension": ".pdf", "flesch": "68", "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", "keywords": "convergence; method; newton", "summary": "\u2212 L(xm)\u2016\u2016v1 \u2212 v2\u2016 \u2264 w0(\u2016xm \u2212 x0\u2016)\u2016v1 \u2212 v2\u2016 \u2264 w0(\u03c1)\u2016v1 \u2212 v2\u2016, where w0(\u03c1) < 1, by the definition of \u03c1. \u2212 xm\u2016 1 \u03bb [\u222b 1 0 w0((1\u2212 \u03b8)\u2016x \u2212 x0\u2016)d\u03b8\u2016x \u2212 x0\u2016 + \u222b 1 0 w((1\u2212 \u03b8)\u2016x \u2212 xm\u2016)d\u03b8\u2016x \u2212 xm\u2016 +w0(\u2016xm \u2212 x0\u2016)\u2016x \u2212 xm\u2016+ w1)\u2016xm \u2212 x0\u2016)\u2016x \u2212 xm\u2016] \u2264 1 \u03bb [\u222b 1 0 w0((1\u2212 \u03b8)\u03c1)d\u03b8 + w0(\u03c1)", "mime": "application/pdf"}, {"id": "ma-216", "words": "7420", "extension": ".pdf", "flesch": "66", "author": "Konlan, Musah", "title": "Modeling the Inflow of Exposed and Infected Migrants on the Dynamics of Malaria", "date": "2024", "keywords": "disease; equilibrium; malaria; math; model; rate", "summary": "\u2212 \u2212 \u2212 1 1 https://doi.org/10.28924/ada/ma.4.7 Eur. J. Math. Number (#) of Possible Positive Roots of f (I\u2217\u2217h ) Case q3 q2 q1 q0 # of sign change # of roots(i) + + + \u2212 1 1(ii) + + \u2212 \u2212 1 1(iii) + \u2212 + \u2212 3 1, 3(iv) +", "mime": "application/pdf"}, {"id": "ma-218", "words": "6590", "extension": ".pdf", "flesch": "83", "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", "keywords": "i=1; lim; n\u2192\u221e", "summary": "We consider the following estimate using triangular inequality \u2016xn \u2212 vn\u2016 \u2264 \u2016xn \u2212 xn+1\u2016+ \u2016xn+1 Consider the triangular inequality \u2016 \u03c9n \u2212 zn \u2016\u2264\u2016 \u03c9n \u2212 xn \u2016 + \u2016 xn \u2212 zn \u2016 .", "mime": "application/pdf"}, {"id": "ma-219", "words": "3512", "extension": ".pdf", "flesch": "66", "author": "Adeyemo, K. M.", "title": "Global Stability Analysis of Onchocerciasis Transmission Dynamics with Vigilant Compartment in Two Interacting Populations", "date": "2024", "keywords": "i=0", "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 \u2212 E\u2217\u2217v \u2212 E\u2217\u2217v ln Ev E\u2217\u2217v ) + \u03b1v + \u00b5v \u03b1v [ Iv \u2212 I\u2217\u2217v \u2212 I\u2217\u2217v ln Iv I\u2217\u2217v ] With Lyapunov time-derivative given as M\u0307 = S\u0307h(t, xi)\u2212 S\u2217\u2217h (xi) Sh(xi) S\u0307h(t, xi) + E\u0307h(t, xi)\u2212 E\u2217\u2217h (xi) Eh(xi) E\u0307h(t, xi) + L\u2211 i=0 \u03b1h(xi) + \u00b5h(xi) \u03b1h(xi) ( I\u0307h(t, xi)\u2212 I\u2217\u2217h (xi) Ih(xi) I\u0307h(t, xi) ) + S\u0307v \u2212 S\u2217\u2217v Sv S\u0307v + E\u0307v \u2212 E\u2217\u2217v Ev E\u0307v + \u03b1v + \u00b5v \u03b1m ( I\u0307v \u2212 I\u2217\u2217v Iv I\u0307v ) (3.2) https://doi.org/10.28924/ada/ma.4.9 Eur. J. Math.", "mime": "application/pdf"}, {"id": "ma-220", "words": "4965", "extension": ".pdf", "flesch": "78", "author": "Rossaf, Mohamed; Mabrouk, Khadija; Ghiati, M'hamed; Mouniane, Mohammed", "title": "Duals of Continuous Frames in Hilbert C\u2217-Modules", "date": "2024", "keywords": "frame; fw}w\u2208\u03c9; operator", "summary": "Moreover, if B is an upper bound for {Fw}w\u2208\u2126 and S is frame operator of {Fw}w\u2208\u2126, then B \u2225\u2225S\u22121 \u2225\u2225\u2212 1 2 \u2016TF\u2016\u22121 \u2016\u0393\u2016\u22121 is a lower bound for {gw}w\u2208\u2126. Proof. Let F = {Fw}w\u2208\u2126 be a \u2217-continuous frame for H with pre-frame operator TF and frame operator S. Then the set of all the operator duals of {Fw}w\u2208\u2126 is precisely the following {gw}w\u2208\u2126 = { \u0393Fw + \u03d5ew \u2212 \u222b \u2126 \u2329 S\u22121Fw , Fi \u232a \u03d5ewd\u00b5(\u03c9) } w\u2208\u2126 , where {ew}w\u2208\u2126 is the standard orthonormal basis for L2(\u2126,A), \u03d5 \u2208 B\u2217 ( H, L2(\u2126,A) ) , and \u0393 is an invertible adjointable operator on H. Proof.", "mime": "application/pdf"}, {"id": "ma-222", "words": "2905", "extension": ".pdf", "flesch": "84", "author": "Ni, Qichuan; Liu, Qi; Zhou, Yin; Qian, Qin", "title": "The Constants to Measure the Differences Between Isosceles and \u03b1-\u03b2 Orthogonalities", "date": "2024", "keywords": "y\u20162", "summary": "We get \u2016\u03b1x \u2212 \u03b2y\u2016 = 2\u03b2, \u2016x \u2212 y\u2016 = \u2016x \u2212 \u03b2y\u2016 = \u2016\u03b1x \u2212 y\u2016 = 2. We get \u2016\u03b1x \u2212 \u03b2y\u2016 = \u03b2, \u2016x \u2212 y\u2016 = \u2016x \u2212 \u03b2y\u2016 = \u2016\u03b1x \u2212 y\u2016 = 1.", "mime": "application/pdf"}, {"id": "ma-225", "words": "4056", "extension": ".pdf", "flesch": "79", "author": "Wilbert, Asambo Awini; Iddrisu, Mohammed Muniru; Barnes, Benedict", "title": "Convexity Properties in Non-Newtonian Calculus and Their Applications", "date": "2024", "keywords": "convex", "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.", "mime": "application/pdf"}, {"id": "ma-226", "words": "3460", "extension": ".pdf", "flesch": "61", "author": "Dung, Nguyen Dinh; Quang, Vu Vinh", "title": "Finite Difference Method for Solving Second-Order Boundary Value Problems with High-Order Accuracy", "date": "2024", "keywords": "accuracy; boundary; grid; order; problem", "summary": "\u2212 zi\u22121)(zi \u2212 zi+1)...(zi \u2212 zi\u22121)(x \u2212 zi+1)...(x", "mime": "application/pdf"}, {"id": "ma-227", "words": "3078", "extension": ".pdf", "flesch": "74", "author": "Darya, Ali; Tagizadeh, Nasir", "title": "On the Dirichlet Boundary Value Problem for the Cauchy-Riemann Equations in the Half Disc", "date": "2024", "keywords": "2\u03c0i", "summary": "= 1 2\u03c0i \u222b \u2202M \u03c9(t) dt t \u2212 z \u2212 1 \u03c0 \u222b M \u03c9t\u0304(t) d\u03bed\u03b7 t \u2212 z . Many results have been obtained for boundary value problems of complex partial differentialequations in some particular domains, see, e.g. [1\u201316].", "mime": "application/pdf"}, {"id": "ma-232", "words": "6386", "extension": ".pdf", "flesch": "85", "author": "Gori, E. O.; Bonyo, J. O.", "title": "Duality of the Nonreflexive Bergman Space of the Upper Half Plane and Composition Groups", "date": "2024", "keywords": "b\u221e,", "summary": "Now, g = f \u25e6 \u03c8 is continuous on D with f = g \u25e6 \u03c8\u22121, and sup z\u2208D\\\u03c8\u22121(K) 10.28924/ada/ma.4.14 10Now, lim a\u21920 \u2016Cha f \u2212 f \u2016B\u221e,\u25e6(D) = lim a\u21920 ( sup z\u2208D (1\u2212 |z |2)|(Cha f \u2212 f )\u2032|(z) )", "mime": "application/pdf"}, {"id": "ma-234", "words": "8060", "extension": ".pdf", "flesch": "85", "author": "Diarra, Nouffou", "title": "Hardy-Littlewood-Sobolev Theorem for Bourgain-Morrey Spaces and Approximation", "date": "2024", "keywords": "m\u03b1 q", "summary": "Actually we have{ L\u03b1 \u2282M\u03b1 q,p \u2282M\u03b1 q,p1 \u2282M\u03b1 q,\u221e =M\u03b1 q , 1 \u2264 q < \u03b1 < p \u2264 p1 \u2264 \u221e. M\u03b1 q,p \u2282M\u03b1 q1,p , 1 \u2264 q1 \u2264 q \u2264 \u03b1 \u2264 p \u2264 \u221e. (1) https://doi.org/10.28924/ada/ma.4.16 Eur. J. Math. We recall that, for 1 \u2264 q, p, \u03b1 \u2264 \u221e, the space F(q, p, \u03b1) arises naturally in the search of acharacterization of the set B(\u03b3, p) in [7], where it is established that B(\u03b3, p) \u2282 F(1, p, \u03b1)c \u2282 F(1, p, \u03b1) \u2282 WB(\u03b3, p) , 0 < \u03b3 < 1 \u03b1 \u2264 1 and 1 p = 1 \u03b1 \u2212 \u03b3, (8) with F(q, p, \u03b1)c = { f \u2208 F(q, p, \u03b1) : lim y\u21920 \u2016f \u2212 f (\u00b7 \u2212 y)\u2016F(q,p,\u03b1)", "mime": "application/pdf"}, {"id": "ma-236", "words": "4176", "extension": ".pdf", "flesch": "74", "author": "Stojiljkovi\u0107, Vuk; Dragomir, Sever Silvestru", "title": "Tensorial Simpson 1/8 Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Space", "date": "2024", "keywords": "inequalities; math", "summary": "Reflected in this work is the tensorial Shuang\u2019s 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.", "mime": "application/pdf"}, {"id": "ma-24", "words": "5480", "extension": ".pdf", "flesch": "79", "author": "Owuor Owino, Joseph ; Okelo, Benard", "title": "Lie Group Analysis of a Nonlinear Coupled System of Korteweg-de Vries Equations", "date": "2021", "keywords": "equations; group; lie; symmetry; system", "summary": "One can easily see that if \u03bb = \u2212 12\u03b2 \u03b1 , and \u00b5 = 0, (72) then \u03d5 = \u2212 12\u03b2 \u03b1x2 , \u03c8 = 0, (73) which is a solution of the system (61)-(62). Taking \u03bb = \u2212 6\u03b2 \u03b1 (75) gives \u00b5 = \u00b1 6\u03b2i \u03b1 , (76) with i2 = \u22121.", "mime": "application/pdf"}, {"id": "ma-241", "words": "5813", "extension": ".pdf", "flesch": "70", "author": "Kyriakis, Alexandros", "title": "Schwarz Algorithms for Stokes-Stokes Coupling", "date": "2025", "keywords": "convergence; fourier; methods; schwarz", "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.", "mime": "application/pdf"}, {"id": "ma-245", "words": "2640", "extension": ".pdf", "flesch": "81", "author": "Crasmareanu, Mircea", "title": "The Jacobi Mate of an Oval", "date": "2024", "keywords": "curve", "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(\u00b7, \u03c1), sn(\u00b7, \u03c1) respectively dn(\u00b7, \u03c1); we prefer the simple notation used above.", "mime": "application/pdf"}, {"id": "ma-246", "words": "6594", "extension": ".pdf", "flesch": "93", "author": "Almocera, Junvon A.; Tutanes, Lezel M.", "title": "On \u03b7-Local Functions in Ideal Topological Spaces", "date": "2025", "keywords": "a\u2217\u03b7", "summary": "Now, notethat A\u2217\u03b7 = \u03b7-cl(A\u2217\u03b7) and by Theorem 1 (x), hence, A\u2217\u03b7 = \u03b7-cl(A\u2217\u03b7) \u2286 \u03b7-cl(A). For U \u2208 \u03b7-O(X), suppose that x \u2208 U \u2229A\u2217\u03b7 .", "mime": "application/pdf"}, {"id": "ma-247", "words": "5993", "extension": ".pdf", "flesch": "79", "author": "Khedhiri, Hedi", "title": "Slicing of Negative Plurisubharmonic Currents Arising From Analytic Subsets", "date": "2024", "keywords": "theorem", "summary": "\u00d7 Cn\u2212k , z = (z \u2032, z \u2032\u2032), z \u2032 \u2208 Ck , z \u2032\u2032 \u2208 Cn\u2212k . Consider in C5 = C \u00d7 C4, X = {z2 = z3 = z4 = 0} and Y = {z4 = z2 2 z 2 3} take k = 1 and \u03d5(z \u2032)", "mime": "application/pdf"}, {"id": "ma-248", "words": "9472", "extension": ".pdf", "flesch": "64", "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", "keywords": "ahh; anal; asymptomatic; control; days; disease; ehh; graph; ihh; math; meningitis; model; rhh; shh; time", "summary": "\u2212 k1\u03c41EHh \u2212 (1\u2212 k1)\u03c41EHh \u2212 \u00b5EHh, d dt AHh = (1\u2212 k1)\u03c41EHh \u2212 (\u03c42 + \u03c43 + \u00b5)AHh, (1) It was seen that the most sensitiveparameters on R0 are \u039b, \u03c41, \u03c81, \u03b71, k1, \u00b5, and \u03c82.An optimal control model was formulated by adding time-dependent optimal controls.", "mime": "application/pdf"}, {"id": "ma-25", "words": "8488", "extension": ".pdf", "flesch": "82", "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", "keywords": "logq; \u03c1[p", "summary": "First, we will prove that f must be a polynomialwith deg f \u2264 s \u2212 1. = \u00b5p (f ) is the iterated lower p-order, \u03bb[p,1] (f \u2212 a) = \u03bbp (f , a)(or \u03bb[p,1] (f \u2212 a) = \u03bbp (f , a)) is the iterated convergence exponent of the sequence of distinct a-points (or of a-points), \u03bb[p,1] (1f ) = \u03bbp ( 1 f ) is the iterated exponent of convergence of the poles, see [7] , [11] ,", "mime": "application/pdf"}, {"id": "ma-254", "words": "3360", "extension": ".pdf", "flesch": "80", "author": "Bataka, Ky T.; Mensah, Yaogan", "title": "The Rellich-Kondrachov Theorem for Gelfand Pairs Over Hypergroups", "date": "2025", "keywords": "theorem", "summary": "10.28924/ada/ma.5.3 3(2) \u2200x, y \u2208 H, supp(\u03b4x \u2217 \u03b4y ) \u2282 H. Let G be a hypergroup and let K be a compact subhypergroup of G. For x, y \u2208 G, x \u2217 y standsfor the support of \u03b4x \u2217 \u03b4y . the mapping (\u00b5, \u03bd) 7\u2192 \u00b5 \u2217 \u03bd is continuous from Mb(G)\u00d7Mb(G) into Mb(G),(b) \u2200x, y \u2208 G, \u03b4x \u2217 \u03b4y is a probability measure such that supp(\u03b4x \u2217 \u03b4y ) is compact.(c)", "mime": "application/pdf"}, {"id": "ma-255", "words": "6690", "extension": ".pdf", "flesch": "77", "author": "Argyros, Ioannis K.; George, Santhosh; Regmi, Samundra; Argyros, Michael I.", "title": "Hybrid Iterative Methods for Solving Nonlinear Equations in Banach Spaces", "date": "2025", "keywords": "anal; convergence; math; method; newton; operator", "summary": "\u2212 s\u2217))\u2016 \u2264 \u03c6(\u2016s\u2217 \u2212 x0\u2016, \u2016w \u2212 x0\u2016, \u2016w \u2212 s\u2217\u2016)\u2016w \u2212 s\u2217\u2016 \u2264 \u03c6(\u03b1\u2217, \u03b1\u2217, \u2016w \u2212 s\u2217\u2016)\u2016w \u2212 s\u2217\u2016 < \u2016w \u2212 s\u2217\u2016, which gives a contradiction. \u2212 s\u2217\u2016)\u2016w1 \u2212 s\u2217\u2016 < \u2016w1 \u2212 s\u2217\u2016 (2.12) by the choice of r .", "mime": "application/pdf"}, {"id": "ma-260", "words": "3924", "extension": ".pdf", "flesch": "84", "author": "Nagacy, Pokou", "title": "Boundedness of Some Commutators in Total Fofana Spaces", "date": "2024", "keywords": "lp)\u03b1; \u03bb(rd", "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.", "mime": "application/pdf"}, {"id": "ma-263", "words": "9020", "extension": ".pdf", "flesch": "73", "author": "Chesneau, Christophe", "title": "A Proposal of New Extended Symmetric Cosine Distribution", "date": "2025", "keywords": "data; distribution; esc; esc distribution; math; pdf", "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.", "mime": "application/pdf"}, {"id": "ma-265", "words": "6193", "extension": ".pdf", "flesch": "84", "author": "Peretz, Ronen", "title": "Correspondences Among Inner Functions, Functions with Non-Negative Real Parts and Conformal Mappings", "date": "2025", "keywords": "s(z", "summary": "Namely, \u2200 z \u2208 U , the function of w \u2208 U given by: exp (\u2212G(z \u00b7 w)) is a contraction and so by the theoremof Banach it has a unique fixed-point w = S(z). The function of t \u2208 U given by exp (\u2212F (z \u00b7 t)) is a contraction (with respect to the Euclideanmetric) where z \u2208 U is fixed.(iv)", "mime": "application/pdf"}, {"id": "ma-267", "words": "4935", "extension": ".pdf", "flesch": "75", "author": "Chana, Ahmed; Akhlidj, Abdellatif", "title": "Extremal Functions and Calderon\u2019s Formulas for the Riemann-Liouville Two-Wavelet Transform", "date": "2024", "keywords": "liouville; riemann", "summary": "Let s > 2\u03b1+3 2 , \u03c8 be aRiemann-Liouville wavelet on K in L2\u03b1(K) and \u03b2 > 0 thenwe have f \u2208 Hs\u03c8,\u03b2(K)\u21d2 F\u03b1(f ) Let f \u2208 Hs\u03c8,\u03b2(K), by using the relations (2.9), (3.9), (4.2) and (4.4) we find that \u2016f", "mime": "application/pdf"}, {"id": "ma-27", "words": "8870", "extension": ".pdf", "flesch": "76", "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", "keywords": "algorithm; iterative; lim; mappings; math; nonexpansive; \u2212 z\u2016", "summary": "\u2212 z\u2016 = x. (4.7) Again, using (1.7), we get \u2016`s+1 \u2212 z\u2016 = \u2016T\u03b6s \u2212 z\u2016 \u2264 \u2016\u03b6s \u2212 z\u2016 = \u2016Tws \u2212 z\u2016 \u2264 \u2016ws \u2212 z\u2016 = \u2016(1\u2212 \u03b4s)T`s + \u03b4sTgs \u2212 z\u2016 \u2264 (1\u2212 \u03b4s)\u2016T`s \u2212 z\u2016+ \u03b4s\u2016Tgs \u2212 z\u2016 \u2264 (1\u2212 \u03b4s)\u2016`s \u2212 z\u2016+ \u03b4s\u2016gs \u2212 z\u2016 = \u2016`s \u2212 z\u2016 \u2212 \u03b4s\u2016`s \u2212 z\u2016+ \u03b4s\u2016gs \u2212 z\u2016. (4.8) From (4.8), we have \u2016`s+1 \u2212 z\u2016 \u2212 \u2016`s \u2212 z\u2016 \u03b4s \u2264 \u2016gs \u2212 z\u2016 \u2212 \u2016`s \u2212 z\u2016. (4.9) \u2212 z\u2016 \u2264 \u03b3(1\u2212 \u03b4s)\u2016`s \u2212 z\u2016+ \u03b3\u03b4s(1\u2212 (1\u2212 \u03b3)\u03b2s)\u2016`s \u2212 z\u2016 = \u03b3(1\u2212 (1\u2212 \u03b3)\u03b4s\u03b2s)\u2016`s \u2212 z\u2016. (3.2) From (1.7) and (3.2), we obtain \u2016\u03b6s \u2212 z\u2016 = \u2016Tws \u2212 z\u2016 \u2264 \u03b3\u2016ws \u2212 z\u2016 \u2264 \u03b32(1\u2212 (1\u2212 \u03b3)\u03b4s\u03b2s)\u2016`s \u2212 z\u2016. (3.3) Using (1.7) and (3.3), we have \u2016`s+1 \u2212 z\u2016 = \u2016T\u03b6s \u2212 z\u2016 \u2264 \u03b3\u2016\u03b6s \u2212 z\u2016 \u2264 \u03b33(1\u2212 (1\u2212 \u03b3)\u03b4s\u03b2s)\u2016`s \u2212 z\u2016. (3.4) From (3.4), we have the following inequalities: \u2016`s+1 \u2212 z\u2016 \u2264 \u03b33(1\u2212 (1\u2212 \u03b3)\u03b4s\u03b2s)\u2016`s \u2212 z\u2016 \u2264 \u03b33(1\u2212 (1\u2212 \u03b3)\u03b4s\u22121\u03b2s\u22121)\u2016`s\u22121 \u2212 z\u2016... \u2016`1", "mime": "application/pdf"}, {"id": "ma-28", "words": "2429", "extension": ".pdf", "flesch": "66", "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", "keywords": "solution", "summary": "In the present paper, we investigate the stability results of positive weak solution for thegeneralized Fisher\u2013Kolmogoroff nonlinear stationary-state problem involving weighted p-Laplacianoperator \u2212d\u2206P,pu = ka(x)u[\u03bd \u2212 \u03c5u] in \u2126, Bu = 0 on \u2202\u2126, where \u2206P,p with p > 1 and P = P (x)is a weight function, denotes the weighted p-Laplacian defined by \u2206P,pu \u2261 div In this paper we study the stability results of positive weak solution for the generalized weighted p-Fisher\u2013Kolmogoroff nonlinear stationary-state problem \u2212d\u2206P,pu = ka(x)f (u) = ka(x)u[\u03bd \u2212 \u03c5u] in \u2126, Bu = 0 on \u2202\u2126, } (1.1) where \u2206P,p with p > 1 and P = P (x) is a weight function, denotes the weighted p-Laplaciandefined by \u2206P,pu \u2261 div [P (x)|\u2207u|p\u22122\u2207u] (see for details [6]), the continuous function a(x) :", "mime": "application/pdf"}, {"id": "ma-287", "words": "6895", "extension": ".pdf", "flesch": "83", "author": "Chesneau, Christophe", "title": "Some New Series Expansions of a Special Type of Functions Involving the Logarithmic Function", "date": "2025", "keywords": "k=1; log(x; \u2212k \u2212", "summary": "\u2212 1)\u2212 2k\u22121(x2\u2212k \u2212 1) ] cos [ 2k\u22122(x2 \u2212(k\u22121) \u2212 1)\u2212 2k\u22121(x2\u2212k \u2212 1) ] cosh", "mime": "application/pdf"}, {"id": "ma-294", "words": "3254", "extension": ".pdf", "flesch": "58", "author": "Dung, Nguyen Dinh", "title": "Numerical Results for Gauss-Seidel Iterative Algorithm Based on Newton Methods for Unconstrained Optimization Problems", "date": "2025", "keywords": "algorithm; method; newton; x(k", "summary": "So, in this paper, we propose Gauss \u2013 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.", "mime": "application/pdf"}, {"id": "ma-297", "words": "2590", "extension": ".pdf", "flesch": "81", "author": "Argyros, Ioannis K.; George, Santhosh; Argyros, Michael", "title": "Majorizing Sequences for Newton-Like Method and Their Limit Points", "date": "2025", "keywords": "sequences", "summary": "\u2212 xn\u2016 \u2264 v\u2217 \u2212 vn. \u2212 xn\u2016 \u2264 s\u2217 \u2212 sn.", "mime": "application/pdf"}, {"id": "ma-301", "words": "5498", "extension": ".pdf", "flesch": "73", "author": "Chana, Ahmed; Akhlidj, Abdellatif", "title": "Uncertainty Principles and Extremal Functions for Bessel Multiplier Operators in Quantum Calculus", "date": "2025", "keywords": "r+q", "summary": "Let f \u2208 L2\u03b1(R+q ) and \u03c3 \u2208 L2\u03b1(R+q ) \u2229 L\u221e\u03b1 (R+q ) satisfy the admissibility condition (3.7) and 0 < \u03b3 < \u03b4 <\u221e. Then the function f\u03b3,\u03b4(x) [12] (i) Let E be a measurable subset of R+q , we say that the function f \u2208 L2\u03b1(R+q ) is \u03b5-concentrated on E if \u2016f \u2212 1Ef \u20162,q,\u03b1 \u2264 \u03b5\u2016f \u20162,q,\u03b1, (3.11) where 1E is the indicator function of the set E. (ii) Let F be a measurable subset of R+q \u00d7 R+q , we say that the function T\u03c3,\u03b2(f ) is \u03c1-concentrated on F", "mime": "application/pdf"}, {"id": "ma-310", "words": "3397", "extension": ".pdf", "flesch": "68", "author": "Darya, Ali; Taghizadeh, Nasir", "title": "Neumann and Dirichlet Problems for the Cauchy\u2013Riemann and the Poisson Equations in the Partial Eclipse Domain", "date": "2025", "keywords": "\u03b6 \u2212; \u2212 a2; \u2212 z", "summary": "[ t \u03b6 \u2212 log(\u03b6 \u2212 t) + a2 \u03b62 log(\u03b6t \u2212 a2) ] d\u03b6. This completes the proof. = 1 2\u03c0i \u222b \u2202M \u03b3(\u03b6) [ z \u03b6 \u2212 log(\u03b6 \u2212 z) + a2 \u03b62 log(\u03b6z \u2212 a2) ] d\u03b6 + c.", "mime": "application/pdf"}, {"id": "ma-342", "words": "4864", "extension": ".pdf", "flesch": "55", "author": "Danladi, Ali; Tahir, Alhaji; Rezazadeh, Hadi", "title": "Modulation Instability, Dark and Singular Soliton for Weakly Nonlocal Schrodinger Equation", "date": "2025", "keywords": "equation; nonlinear; solutions; values; wave", "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.", "mime": "application/pdf"}, {"id": "ma-345", "words": "4578", "extension": ".pdf", "flesch": "76", "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", "keywords": "convergence; method", "summary": "\u2212 x\u2217 = xi \u2212 x\u2217 \u2212 Ti(F (xi)\u2212 F (x\u2217)) (2.10)We need the estimate \u2016Ki+1 \u2212 F \u2032(xi)\u2016 = \u2016[2yi \u2212 xi , xi ;F ]\u2212 [xi , xi ;F ]\u2016 \u2264 l(\u20162yi \u2212 xi \u2212 xi\u2016+ \u2016xi \u2212 xi\u2016)", "mime": "application/pdf"}, {"id": "ma-354", "words": "3501", "extension": ".pdf", "flesch": "55", "author": "Konlan, Musah; Chuaya, Razak Gbemmie", "title": "Stability Analysis of a Mathematical Model for Examination Malpractice Dynamics", "date": "2025", "keywords": "candidates; examination; malpractice; math; model", "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.", "mime": "application/pdf"}, {"id": "ma-361", "words": "3670", "extension": ".pdf", "flesch": "54", "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", "keywords": "attainment; convex; norm; theorem", "summary": "For any continuous quasilinear p : X \u2192 R, there exists f \u2208 X\u2217 attaining its p-norm and separating A from B: sup a\u2208A f (a) \u2264 inf b\u2208B f (b) Proof. B\u2212K.By the nonlinear separation theorem (see [1]), there exists f \u2208 X\u2217 with: sup k\u2208K f (k) \u2264 inf b\u2208B f (b) Step 3: Norm-Attainment VerificationThe critical observation is that f attains its p-norm on \u2202K: \u2203x0 \u2208 \u2202K with f (x0)", "mime": "application/pdf"}, {"id": "ma-367", "words": "5003", "extension": ".pdf", "flesch": "83", "author": "Nemri, Akram", "title": "On a Family of q-Weighted Bergman Spaces and Applications", "date": "2025", "keywords": "d\u03bd\u03b1; q(d; q(z", "summary": "[\u2207\u03b1,q, L\u03b1,q]q := \u2207\u03b1,qL\u03b1,q \u2212 L\u03b1,q\u2207\u03b1,q = q\u2212\u03b1\u22121\u039bq ( [\u03b1+ 1]qI + (1 + q\u22121)q\u2212\u03b1\u22121Nq ) , where I is the identity operator and \u039bq is the q-shift operator given by \u039bqf (z) = f (qz). = A\u03b1,q \u2295A\u22a5\u03b1,q then for any f \u2208 L2\u03b1,q(D), we have f = (f \u2212 f \u22a5) + f \u22a5 where f \u2212 f \u22a5 \u2208 A\u03b1,q and f \u22a5 \u2208 A\u22a5\u03b1,q .", "mime": "application/pdf"}, {"id": "ma-382", "words": "4122", "extension": ".pdf", "flesch": "58", "author": "Evans, Mogoi N.; Obogi, Robert", "title": "Computational Theory of Norm-Attaining Functionals: Algorithms, Stability, and Applications in Banach Spaces", "date": "2025", "keywords": "banach; computable; norm; space", "summary": "For regression models y = F (x) + \u03b5 with F \u2208 X\u2217: (1) The empirical risk minimizer F\u0302n norm-attains with high probability (2) The attainment gap decays as E[\u2016F\u0302n\u2016 \u2212 sup\u2016x\u2016\u22641 F\u0302n(x)|] Main Results and Discussions Theorem 2. Let X be a uniformly convex Banach space with modulus of convexity \u03b4(\u03b5), and let {Fn} be a sequence of computable functionals converging weakly to F \u2208 X\u2217.", "mime": "application/pdf"}, {"id": "ma-386", "words": "5473", "extension": ".pdf", "flesch": "76", "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", "keywords": "convergence; math; method; order; x\u2217\u2016", "summary": "(2)n \u2212 x\u2217\u2016 \u2264 g2(\u2016xn \u2212 x\u2217\u2016)\u2016xn \u2212 x\u2217\u2016 \u2264 \u2016xn \u2212 x\u2217\u2016, (13) \u2016y (j)n \u2212 x\u2217\u2016 \u2264 gj(\u2016xn \u2212 x\u2217\u2016)\u2016xn \u2212 x\u2217\u2016 \u2264 \u2016xn \u2212 x\u2217\u2016, (14) \u00b7 \u00b7 \u00b7 https://doi.org/10.28924/ada/ma.5.18 Eur. J. Math. 10.28924/ada/ma.5.18 6 \u2016xn+1 \u2212 x\u2217\u2016 = \u2016y (k)n \u2212 x\u2217\u2016 \u2264 gk(\u2016xn \u2212 x\u2217\u2016)\u2016xn \u2212 x\u2217\u2016 \u2264 \u2016xn \u2212 x\u2217\u2016. (15)", "mime": "application/pdf"}, {"id": "ma-415", "words": "3998", "extension": ".pdf", "flesch": "80", "author": "Abdalmonem, Afif; Khalil, Omer; Abdalrhman, Omer", "title": "Estimates of Variable Kernel Parameterized Littlewood-Paley Operators on Variable Herz Spaces", "date": "2025", "keywords": "variable; \u00b5\u2217,\u03c3\u03c8", "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.", "mime": "application/pdf"}, {"id": "ma-44", "words": "5739", "extension": ".pdf", "flesch": "80", "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", "keywords": "\u03b3(\u03b12; \u03d5\u03b32\u22121", "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.", "mime": "application/pdf"}, {"id": "ma-50", "words": "12927", "extension": ".pdf", "flesch": "82", "author": "Agwu, Imo Kalu; Igbokwe, Donatus Ikechi", "title": "Convergence and Stability of New Approximation Algorithms for Certain Contractive-Type Mappings", "date": "2021", "keywords": "j j\u22121\u220f; j(\u03c1; j=2; j=2 \u03b11n; j=2 \u03b4n; j\u22121\u220f i=1; \u03b11n; \u03b12n; \u03b13n; \u2212 q\u20162", "summary": "\u00d7 ( \u03b1 `s\u22121 n,1 + `s\u2211 j=2 \u03b1 `s\u22121 n,j j\u22121\u220f i=1 (1\u2212 \u03b1`s\u22121n,i ) + `s\u220f i=1 (1\u2212 \u03b1`s\u22121n,i ) ) Putting (4.8) in (4.7), we obtain, using Lemma 2.3 that the sequence {tn}\u221en=0 converges strongly tothe point q in F (\u0393).On the other hand, suppose tn \u2192 q as n \u2192 \u221e. Then, we show that \u03b5 \u2192 0 as n \u2192 \u221e. Indeed,from (3.5) with v1n = y1n , (4.2) and Proposition 2.4 with u = q, v1n = t, j = i , k = 1,\u0393j\u22121v1n = vj\u22121and \u0393`1v1n = v \u201e we have \u03b5n = \u2016tn+1 \u2212 \u03b4n,1v1n,1 \u2212 `1\u2211 j=2 \u03b4n,j j\u22121\u220f i=1 (1\u2212 \u03b4n,i)\u0393j\u22121v1n \u2212 `1\u220f i=1 (1\u2212 \u03b4n,i)\u0393`1v1n \u20162 = \u2016tn+1 \u2212 q \u2212 \uf8eb\uf8ed\u03b4n,1v1n,1 + `1\u2211 j=2 \u03b4n,j j\u22121\u220f i=1 (1\u2212 \u03b4n,i)\u0393j\u22121v1n + `1\u220f i=1 (1\u2212 \u03b4n,i)\u0393`1v1n \u2212 q \uf8f6\uf8f8 \u20162 \u2264 \u2016tn+1 \u2212 q\u20162 + \u2016\u03b4n,1v1n,1 + `1\u2211 j=2 \u03b4n,j j\u22121\u220f i=1 (1\u2212 \u03b4n,i)\u0393j\u22121v1n + `1\u220f i=1 (1\u2212 \u03b4n,i)\u0393`1v1n \u2212 q\u20162 \u2264 \u2016tn+1 \u2212 q\u20162 + \u03b4n,1\u2016v1n,1 \u2212 q\u20162 + `1\u2211 j=2 \u03b4n,j j\u22121\u220f i=1 (1\u2212 \u03b4n,i)\u2016\u0393j\u22121v1n \u2212 \u0393j\u22121q\u20162 + `1\u220f i=1 (1\u2212 \u03b4n,i)\u2016\u0393`1v1n \u2212 \u0393`1q\u20162 \u2264 \u2016tn+1 \u2212 q\u20162 + \u03b4n,1\u2016v1n,1 \u2212 q\u20162 + `1\u2211 j=2 \u03b4n,j j\u22121\u220f i=1 (1\u2212 \u03b4n,i)(\u03c1j)2\u2016v1n \u2212 q\u20162 + `1\u220f i=1 (1\u2212 \u03b4n,i)(\u03c1j)2\u2016v1n \u2212 q\u20162 https://doi.org/10.28924/ada/ma.2.1 Eur. \u2212 q\u20162 \u2264 \u03b4n,1\u2016xn \u2212 q\u20162 + `1\u2211 j=2 \u03b4n,j(\u03c1 j)2 j\u22121\u220f i=1 (1\u2212 \u03b4n,i)\u2016y1n \u2212 q\u20162 + `1\u220f i=1 (1\u2212 \u03b4n,i)(\u03c1j)2\u2016y1n \u2212 q\u20162 = \u03b4n,1\u2016xn \u2212 q\u20162 + ( 1\u2212 \u03b41n,1 \u2212 `1\u220f i=1 (1\u2212 \u03b4n,i)(\u03c1j)2 ) \u2016y1n \u2212 q\u20162 + `1\u220f i=1 (1\u2212 \u03b4n,i)(\u03c1j)2\u2016y1n \u2212 q\u20162 = \u03b4n,1\u2016xn \u2212 q\u20162 + ( 1\u2212 \u03b41n,1 ) \u2016y1n \u2212 q\u20162 (3.6) Since `1, `k are fixed integers and \u03b1sn,i \u2208", "mime": "application/pdf"}, {"id": "ma-51", "words": "4628", "extension": ".pdf", "flesch": "81", "author": "Agwu, lmo; Igbokwe, Donatus Ikechi", "title": "Weak and Strong Convergence Theorems of Modified Projection-Type Ishikawa Iteration Scheme for Lipschitz \u03b1-Hemicontractive Mappings", "date": "2022", "keywords": "math; \u03b1q\u20162", "summary": "\u03b4n)(1\u2212 \u03b3n)\u2016xn \u2212 \u03b1q\u20162 + \u03b3nL 2\u2016yn \u2212 \u03b1q\u20162 \u2212 \u03b4n\u03b3nL2\u2016yn \u2212 \u03b1q\u20162 \u2212(\u03b3n \u2212 \u03b4n\u03b3n \u2212 \u03b32n)[(1 + L)\u2016xn \u2212 \u03b1q\u20162 + L(1 + L)\u2016yn \u2212 \u03b1q\u20162]\u2212 \u03b4n(1\u2212 \u03b4n)\u2016xn \u2212 \u03b1q\u20162 = (1\u2212 \u2212 \u03b1q\u20162 \u2212 \u2016xn \u2212 \u03b1q\u20162 + (1\u2212 \u03b3n \u2212 \u03b3nL)\u03b22n\u03b3nL\u2016xn \u2212 Txn\u20162 \u2264 \u03b4nB. (3.22)", "mime": "application/pdf"}, {"id": "ma-53", "words": "5305", "extension": ".pdf", "flesch": "83", "author": "Argyros, Ioannis K.; George, Santhosh ; Argyros, Christopher I.", "title": "On the Ostrowski Method for Solving Equations", "date": "2021", "keywords": "convergence; math; method; x\u2217\u2016", "summary": "For each x, y \u2208 \u21260 \u2016F \u2032(x0)\u22121(F \u2032(y)\u2212 F \u2032(x))\u2016 \u2264 K\u2016y \u2212 x\u2016, \u2016F \u2032(x0)\u22121([y , x ;F ]\u2212 F \u2032(x0))\u2016 \u2264 K1(\u2016y \u2032(x\u2217)\u22121(A0 \u2212 F \u2032(y0))\u2016\u2016A\u221210 F \u2032(x\u2217)\u2016\u2016F \u2032(x\u2217)\u22121F (y0)\u2016 \u2264 L\u2016y0 \u2212 x\u2217\u20162 2(1\u2212 L0\u2016x0 \u2212 x\u2217\u2016 + (L2 + L3)\u2016y0 \u2212 x0\u2016L4\u2016y0 \u2212 x\u2217\u2016 (1\u2212 L0\u2016y0 \u2212 x\u2217\u2016)(1\u2212 p(\u2016x0 \u2212 x\u2217\u2016)) \u2264 \u03d52(\u2016x0 \u2212 x\u2217\u2016)\u2016x0 \u2212 x\u2217\u2016 \u2264 \u2016x0 \u2212 x\u2217\u2016 < r, so x1 \u2208 U(x\u2217, r), where we also used \u2016F \u2032(x\u2217)\u22121(A0 \u2212 F \u2032(y0))\u2016 \u2264 \u2016F \u2032(x\u2217)\u22121([y0, x0;F ]\u2212 F \u2032(x0))\u2016 +\u2016F \u2032(x\u2217)\u22121([y0, x0;F ]\u2212 F \u2032(y0))\u2016 \u2264 (L2 + L3)\u2016y0 \u2212 x0\u2016 \u2264 (L2 + L3)(\u2016y0 \u2212 x\u2217\u2016+ \u2016x0 \u2212 x\u2217\u2016) \u2264 (L2 + L3)(1 + \u03d51(\u2016x0 \u2212 x\u2217\u2016))\u2016x0 \u2212 x\u2217\u2016, and \u2016F \u2032(x\u2217)\u22121F (y0)\u2016 = \u2016 \u222b 1 0 F \u2032(x\u2217)", "mime": "application/pdf"}, {"id": "ma-55", "words": "6243", "extension": ".pdf", "flesch": "81", "author": "Pereira, Ducival C.; Ara\u00fajo, 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", "keywords": "0(\u03c9; l2(0; math", "summary": "In [3] the authors establish existence of global solution to the problem utt + \u22062u \u2212 \u2206pu + \u222b t 0 g(t \u2212 s)\u2206u(s)ds \u2212 \u2206ut + f (u) = 0 in \u2126\u00d7 R+, (1.1) [12]The problem (1.1), with its memory term \u222b t 0 g(t\u2212 s)\u2206u(s)ds , can be regarded as a fourth-orderviscoelastic plate equation with a lower order perturbation of the p-Laplacian type.", "mime": "application/pdf"}, {"id": "ma-58", "words": "3814", "extension": ".pdf", "flesch": "80", "author": "Rossafi, Mohamed; El Jazzar, Roumaissae; Kacha, Ali", "title": "\u2217-K-Operator Frame for Hom\u2217A(X)", "date": "2021", "keywords": "frame; operator", "summary": "Then by the uniqueness of frame operator, the last expression is equal to ST\u2297P (\u03be\u2297\u03b7). = sup {p\u0304Y(T (x)) : \u03be \u2208 X , p\u0304X (\u03be) 6 1}It\u2019s clear to see that, p\u0302(T ) 6 \u2016T\u2016\u221e for all p \u2208 S(A).", "mime": "application/pdf"}, {"id": "ma-60", "words": "4022", "extension": ".pdf", "flesch": "72", "author": "Bishwal, Jaya P. N.", "title": "On the Stratonovich Estimator for the It\u00f4 Diffusion", "date": "2022", "keywords": "i=1; xti\u22121", "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 \u2192\u221e and T n \u2192 0. Kasonga(1988) and the resulting minimum contrast estimator, called the Euler estimator, is \u03b8\u030cn,T := arg min \u03b8\u2208\u0398 Hn,T (\u03b8) Florens-Zmirou (1989) showed L2 consistency of the estimator as T \u2192\u221e and T n \u2192 0.If continuous observation of {Xt} on the interval", "mime": "application/pdf"}, {"id": "ma-63", "words": "2810", "extension": ".pdf", "flesch": "82", "author": "Rossafi, Mohamed; Kari, Abdelkarim; Massit, Hafida", "title": "On the \u03b1\u2212\u03c8\u2212Contractive Mappings in C\u2217-Algebra Valued b-Rectangular Metric Spaces and Fixed Point Theorems", "date": "2022", "keywords": "c\u2217-algebra", "summary": "\ufffd y if and only if y \u2212 x \ufffd \u03b8where \u03b8 means the zero element in A. we denote the set x \u2208 A : x This is clear that T is \u03b1\u2212 \u03c8\u2212 contractive mapping and satisfies \u03b1(x, y)d(Tx, T y) \ufffd \u03c8(d(x, y)), for all x, y \u2208 X Theorem 3.4.", "mime": "application/pdf"}, {"id": "ma-64", "words": "6988", "extension": ".pdf", "flesch": "69", "author": "Hossan, Md. Shorif; Islam, Md. Shafiqul; Kamrujjaman, Md.", "title": "Efficient Numerical Schemes for Computations of European Options with Transaction Costs", "date": "2022", "keywords": "black; equation; finite; math; model; option; pricing; scholes; volatility; \u03c3\u0303 \u03c3", "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.", "mime": "application/pdf"}, {"id": "ma-66", "words": "2481", "extension": ".pdf", "flesch": "74", "author": "Asghar, Ali; Qayyum, Ather; Muhammad, Noor", "title": "Different Types of Topological Structures by Graphs", "date": "2022", "keywords": "graph; k10", "summary": "Consider that G be simple graph, R = {((degG (u)u , degG (w)w )) ; u, w \u2208 V }if l = 0 than R = {(lu)u , (mw )w , u, w \u2208 W}if m = 1 and l = 0 than R = {(lu, lw ) u, w \u2208 VConsider G is directed along with simple than R = {(lu, lw ) = (U,W ) u, w \u2208 V } while if G is undirected than R = {(lu, lw )", "mime": "application/pdf"}, {"id": "ma-80", "words": "15832", "extension": ".pdf", "flesch": "81", "author": "Howard, Roy M.", "title": "Analytical Approximations for the Principal Branch of the Lambert W Function", "date": "2022", "keywords": "approximations; error; figure; function; interval; lambert; lambert w; order; theorem; w y\uf028; wli; y y\uf028; y\uf028 \uf029; y\uf028 \uf029ln; \uf029 w; \uf029ln+", "summary": "1\u2013 e\uf0a4 1\uf02c\uf05b \uf05d W y\uf028 \uf029 W2 W3 y WI3 y\uf028 \uf029 re y\uf028 \uf029 W0 y\uf028 \uf029 W1 y\uf028 \uf029 y W0 y\uf028 \uf029 W2 y\uf028", "mime": "application/pdf"}, {"id": "ma-85", "words": "4637", "extension": ".pdf", "flesch": "84", "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", "keywords": "convergence; math", "summary": "\u2212 F \u2032 ( xk + 3yk 4 ) ), (3.13) so \u2016F \u2032(x0)\u22121 \u222b 1 0 (F \u2032(xk + \u03b8(xk+1 \u2212 xk))d\u03b8 \u2212 1 3 Mk)\u2016 \u2264 K [ \u2016xk+1 \u2212 xk\u2016 2 + \u2016yk \u2212 xk\u2016 6 + \u2016yk \u2212 xk\u2016 4 + \u2016yk \u2212 xk\u2016 12 ] \u2264 K( tk+1 \u2212 tk 2 + sk \u2212 tk 6 + sk \u2212 tk 4 + sk \u2212 tk 12 ) = \u222b 1 0 (F \u2032(xk + \u03b8(xk+1 \u2212 xk))d\u03b8 \u2212 1 3 Mk)(xk+1 \u2212 xk).", "mime": "application/pdf"}, {"id": "ma-86", "words": "5177", "extension": ".pdf", "flesch": "67", "author": "Bishwal, Jaya P. N.", "title": "Quasi-likelihood Estimation in Fractional Levy SPDEs from Poisson Sampling", "date": "2022", "keywords": "estimation; fractional; i=1; levy; process; stochastic", "summary": "Continuoustime long memory jump process is fractional Levy process. Hence fractional Levy process can alsobe called the Kolmogorov-Levy process.", "mime": "application/pdf"}, {"id": "ma-88", "words": "5357", "extension": ".pdf", "flesch": "83", "author": "Zhou, Chuanjiang; Liu, Qi; Li, Yongjin", "title": "A New Approximate Birkhoff Orthogonality Type", "date": "2022", "keywords": "orthogonality; spaces", "summary": "y\u2016 \u2212 \u2016ax\u2016 \u2212 (\u2016x \u2212 ax \u2212 y\u2016+ \u2016ax\u2016) \u2264 \u2016x + ax + y \u2212 ax\u2016 \u2212 \u2016x \u2212 ax \u2212 y + ax\u2016, and \u2016x + ax + y \u2212 ax\u2016 \u2212 \u2016x \u2212 ax \u2212 y + ax\u2016 \u2264 \u2016x + ax + y\u2016+ \u2016ax\u2016 \u2212 (\u2016x \u2212 ax \u2212 y\u2016 \u2212 \u2016ax\u2016). y\u2016 = \u2016x \u2212 ax \u2212 y\u2016, then |\u2016x + y\u2016 \u2212 \u2016x \u2212 y\u2016| = |\u2016x + ax + y \u2212 ax\u2016 \u2212 \u2016x \u2212 ax \u2212 y + ax\u2016|.", "mime": "application/pdf"}, {"id": "ma-9", "words": "6576", "extension": ".pdf", "flesch": "82", "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", "keywords": "i=1; max{1,n; s(t \u2212; t t0; \u03bei\u22121", "summary": "Similarly, for all t \u2208 [tk, tk\u22121). x(t) = k\u220f i=1 biC(t)u0 + k\u220f i=1 biS(t)v0 + k\u2211 i=1 k\u220f j=i bj \u222b ti ti\u22121 S(t \u2212 s)f(s)ds+ \u222b t \u03bek S(t \u2212 s)f(s)ds. \u2212 t0)\u2225\u2225\u2225\u2225\u03c6 \u2212 h(0, \u03c6)\u2225\u2225 ]I[\u03bek ,\u03bek+1)(t)]2 Eur. J. Math.", "mime": "application/pdf"}, {"id": "ma-91", "words": "3544", "extension": ".pdf", "flesch": "49", "author": "Azizi, Sepideh; Azizi, Tahmineh", "title": "The Fractal Nature of Drought: Power Laws and Fractal Complexity of Arizona Drought", "date": "2022", "keywords": "ada; analysis; arizona; data; database; drought; figure; fractal; math; monitor; power; scaling; time", "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).", "mime": "application/pdf"}, {"id": "ma-99", "words": "9211", "extension": ".pdf", "flesch": "71", "author": "Bishwal, Jaya P. N.", "title": "Parameter Estimation for SPDEs Driven by Cylindrical Stable Processes", "date": "2022", "keywords": "ada; anal; distribution; estimation; eur; https://doi.org/10.28924/ada/ma.3.4; i=1; levy; math; process; stochastic", "summary": "as T \u2192\u221e.c) T (\u03b1\u22121)/\u03b12 (\u03b8\u0302k,T \u2212 \u03b8)\u2192D ( \u03c32 k \u03bd2 k )1/\u03b1 S4 S3 as T \u2192\u221e where S4 and S3 are independent stable random variables.d) If in addition, lim k\u2192\u221e \u2223\u2223\u2223\u2223\u03c3k\u03bdk \u2223\u2223\u2223\u2223 = 0, then for every fixed T > 0, \u03b8\u0302k,T \u2192 \u03b8 a.s. as k \u2192\u221eand \u2223\u2223\u2223\u2223\u03bdk\u03c3k \u2223\u2223\u2223\u2223 (\u03b8\u0302k,T \u2212 \u03b8)\u2192D ( T (\u03b1\u22121)/\u03b12 )1/\u03b1 S4 S3 as k \u2192\u221e. Remark: The parabolicity condition and the MLE consistency condition in general are notconnected.", "mime": "application/pdf"}]