A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space [PDF]
Fixed Point Theory and Applications, 2011 In this paper, the common solution problem (P1) of generalized equilibrium problems for a system of inverse-strongly monotone mappings and a system of bifunctions satisfying certain conditions, and the common fixed-point problem (P2) for a family of ...
Cheng Cao-zong +3 more
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A new interpretation of Jensen's inequality and geometric properties of
Journal of Inequalities and Applications, 2011 We introduce a mean of a real-valued measurable function f on a probability space induced by a strictly monotone function φ. Such a mean is called a φ-mean of f and written by Mφ (f).
Nakasuji Yasuo +2 more
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Convexity-preserving properties of set-valued ratios of affine functions [PDF]
, 2021 The aim of this paper is to introduce some classes of set-valued functions that preserve the convexity of sets by direct and inverse images. In particular, we show that the so-called set-valued ratios of affine functions represent such a class.
POPOVICI, Nicolae, ORZAN, Alexandru
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Fractional Hadamard and Fej´er-Hadamard inequalities for exponentially m-convex function [PDF]
, 2021 Fractional integral operators play a vital role in the advancement of mathematical inequalities. The aim of this paper is to present the Hadamard and the Fej´er-Hadamard inequalities for generalized fractional integral operators containing Mittag-Leffler
MEHMOOD, Sajid, FARID, Ghulam
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A new refinement of Jensen’s inequality with applications in information theory
Open Mathematics, 2020 In this paper, we present a new refinement of Jensen’s inequality with applications in information theory. The refinement of Jensen’s inequality is obtained based on the general functional in the work of Popescu et al.
Xiao Lei, Lu Guoxiang
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On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane
Open Mathematics, 2023 We establish necessary conditions for the existence of solutions to various systems of partial differential inequalities in the plane. The obtained conditions provide new Hermite-Hadamard-type inequalities for differentiable functions in the plane.
Jleli Mohamed, Samet Bessem
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About the B-concavity of functions with many variables
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 The paper deals with the study of the property of B-concavity and BB concavity in the bi-dimesional case and with the relation between these properties and the Bernstein operators defined on a simplex.
Meleşteu Alexandra Diana
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Sandwich Type Results For m-Convex Real Functions
Annales Mathematicae Silesianae, 2021 We establish necessary and sufficient conditions allowing separation of pair of real functions by an m-convex and by an m-affine function. Some examples and a geometric interpretation of m-convexity of a function is exhibited, as well as a Jensen’s ...
Lara Teodoro, Rosales Edgar
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New fractional integral inequalities via Euler's beta function
Open Mathematics, 2023 In this article, we present new fractional integral inequalities via Euler’s beta function in terms of ss-convex mappings. We develop some new generalizations of fractional trapezoid- and midpoint-type inequalities using the class of differentiable ss ...
Almutairi Ohud Bulayhan
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A sequential method for a class of pseudoconcave fractional problems [PDF]
, 2008 Fractional programming, Pseudoconcavity, Post-optimality analysis, 90C32, 26B25,
Laura Martein +3 more
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