Monotonicity of radially symmetric supersolutions for polyharmonic-type operators
Differential and Integral Equations, 2002 In this work, we prove some "precise properties" for radially symmetric supersolutions for polyharmonic operators with zero Dirichlet boundary conditions. As a consequence, we prove that they are strictly monotone functions of the radius.
Ge, Yuxin, Ye, Dong
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Some weak type inequalities and almost everywhere convergence of Vilenkin–Nörlund means
Journal of Inequalities and Applications, 2023 We prove and discuss some new weak type ( 1 , 1 ) $(1,1 ) $ inequalities of maximal operators of Vilenkin–Nörlund means generated by monotone coefficients. Moreover, we use these results to prove a.e. convergence of such Vilenkin–Nörlund means.
Davit Baramidze +3 more
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Modified Inertial Algorithms for a Class of Split Feasibility Problems and Fixed Point Problems in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this work, we introduce an iterative algorithm for solving the split feasibility problem on zeros of the sum of monotone operators and fixed point sets and also solving the fixed point problem of a nonexpansive mapping.
Montira Suwannaprapa
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Statistical Korovkin-type theorem for monotone and sublinear operators
Studia Universitatis Babeş-Bolyai. Mathematica, 2023 "In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a; b]), to the more general case of monotone and sublinear operators.
I. Iancu
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On a boundary value problem for a Boussinesq-type equation in a triangle
Вестник КазНУ. Серия математика, механика, информатика, 2022 Earlier, we considered an initial-boundary value problem for a one-dimensional Boussinesq-type equation in a domain that is a trapezoid, in which the theorems on its unique weak solvability in Sobolev classes were established by the methods of the theory
M. T. Jenaliyev +2 more
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q,h-Opial-Type Inequalities via Hahn Operators
Discrete Dynamics in Nature and Society, 2022 In this paper, the well-known Hölder’s inequality is proved via Hahn differential and integral operators, which is a helping tool to establish some Opial-type inequalities via Hahn’s calculus.
Ammara Nosheen +3 more
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On an operator equation involving mappings of monotone type [PDF]
Proceedings of the American Mathematical Society, 1975 Let X X be a real reflexive Banach space and A : X → 2 X ∗ A:X \to {2^{{X^{\ast }}}} a maximal ...
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Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces
Fixed Point Theory and Applications, 2010 The aim of this paper is to obtain some existence theorems related to a hybrid projection method and a hybrid shrinking projection method for firmly nonexpansive-like mappings (mappings of type (P)) in a Banach space.
Fumiaki Kohsaka, Koji Aoyama
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Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function
Fractal and Fractional, 2023 For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral operators by
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
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A Generalized Convexity and Inequalities Involving the Unified Mittag–Leffler Function
Axioms, 2023 This article aims to obtain inequalities containing the unified Mittag–Leffler function which give bounds of integral operators for a generalized convexity. These findings provide generalizations and refinements of many inequalities. By setting values of
Ghulam Farid +4 more
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