Refinement of Jensen’s inequality and estimation of f- and Rényi divergence via Montgomery identity [PDF]
Journal of Inequalities and Applications, 2018 Jensen’s inequality is important for obtaining inequalities for divergence between probability distribution. By applying a refinement of Jensen’s inequality (Horváth et al. in Math. Inequal. Appl.
Khuram Ali Khan +3 more
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Jensen's Inequality for Generalized Peng's -Expectations and Its Applications [PDF]
Abstract and Applied Analysis, 2013 We study Jensen's inequality for generalized Peng's -expectations and give four equivalent conditions on Jensen's inequality for generalized Peng's -expectations without the assumption that the generator is continuous with respect to .
Zhaojun Zong
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On generalization of refinement of Jensen’s inequality using Fink’s identity and Abel-Gontscharoff Green function [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we formulate new Abel-Gontscharoff type identities involving new Green functions for the ‘two-point right focal’ problem. We use Fink’s identity and a new Abel-Gontscharoff-type Green’s function for a ‘two-point right focal’ to generalize ...
Tasadduq Niaz +2 more
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Jensen-Type Inequalities for Invex Functions [PDF]
, 1999 Jensen's inequality for a real convex function f on a convex domain is generalised in several ways to vector functions with a cone inequality, and to invex functions generalizing convex ...
Craven, Bruce Desmond, Dragomir, Sever S
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A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications [PDF]
, 1999 In this paper we point out a converse result of the celebrated Jensen inequality for differentiable convex mappings of several variables and apply it to counterpart well-known analytic inequalities. Applications to Shannon's and Rényi's entropy mappings
Dragomir, Sever S
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An Inequality for Logarithms and its Application in Coding Theory [PDF]
, 1998 In this paper we prove a new analytic inequality for logarithms and apply it for the Noiseless Coding ...
Dragomir, Sever S, Dragomir, Nicoleta
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Jensen’s inequality and tgs-convex functions with applications [PDF]
Journal of Mahani Mathematical Research, 2023 In recent years, many researches have been done on the tgs-convex functions and their applications. In this article, we present some properties of the tgs-convex functions by interesting examples.
Hasan Barsam +2 more
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Extended Jensen’s functional for diamond integral via Green’s function and Hermite polynomial
Journal of Inequalities and Applications, 2022 In this paper, with the help of Green’s function and Hermite interpolating polynomial, an extension of Jensen’s functional for n-convex functions is deduced from Jensen’s inequality involving diamond integrals.
Fazilat Bibi +3 more
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Extended Jensen’s Functional for Diamond Integral via Hermite Polynomial
Journal of Function Spaces, 2021 In this paper, with the help of Hermite interpolating polynomial, extension of Jensen’s functional for n-convex function is deduced from Jensen’s inequality involving diamond integrals.
Rabia Bibi +3 more
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Refinements of the integral Jensen’s inequality generated by finite or infinite permutations
Journal of Inequalities and Applications, 2021 There are a lot of papers dealing with applications of the so-called cyclic refinement of the discrete Jensen’s inequality. A significant generalization of the cyclic refinement, based on combinatorial considerations, has recently been discovered by the ...
László Horváth
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