Jensen's Inequality for Generalized Peng's -Expectations and Its Applications
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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Some Jensen's Type Inequalities for Twice Differentiable Functions of Selfadjoint Operators in Hilbert Spaces [PDF]
, 2008 Some Jensen’s type inequalities for twice differentiable functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
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Integral Inequalities Involving Strongly Convex Functions
Journal of Function Spaces, 2018 We study the notions of strongly convex function as well as F-strongly convex function. We present here some new integral inequalities of Jensen’s type for these classes of functions.
Ying-Qing Song +3 more
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Several new cyclic Jensen type inequalities and their applications
Journal of Inequalities and Applications, 2019 We present some fundamental results and definitions regarding Jensen’s inequality with the aim of obtaining new generalizations of cyclic refinements of Jensen’s inequality from convex to higher order convex functions using Taylor’s formula.
Nasir Mehmood +3 more
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The Applications of Functional Variants of Jensen's Inequality
Journal of Function Spaces and Applications, 2013 The paper is inspired by McShane's results on the functional form of Jensen's inequality for convex functions of several variables. The work is focused on applications and generalizations of this important result. At that, the generalizations of Jensen's
Zlatko Pavić
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Cauchy type means for some generalized convex functions
Journal of Inequalities and Applications, 2021 In this paper, we establish Jensen’s inequality for s-convex functions in the first sense. By using Jensen’s inequalities, we obtain some Cauchy type means for p-convex and s-convex functions in the first sense.
Naila Mehreen, Matloob Anwar
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Constructive quantization: approximation by empirical measures [PDF]
, 2011 In this article, we study the approximation of a probability measure $\mu$ on $\mathbb{R}^{d}$ by its empirical measure $\hat{\mu}_{N}$ interpreted as a random quantization. As error criterion we consider an averaged $p$-th moment Wasserstein metric.
Dereich, Steffen +2 more
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Further Refinements of Jensen’s Type Inequalities for the Function Defined on the Rectangle
Abstract and Applied Analysis, 2013 We give refinement of Jensen’s type inequalities given by Bakula and Pečarić (2006) for the co-ordinate convex function. Also we establish improvement of Jensen’s inequality for the convex function of two variables.
M. Adil Khan +4 more
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New estimates for generalized Shannon and Zipf-Mandelbrot entropies via convexity results
Results in Physics, 2020 Shannon and Zipf-Mandelbrot entropies have several applications in various fields such as ecology, statistics, physics and information theory etc. The aim of this article is to utilize some results of Jensen’s inequality for convex functions and to ...
Khurshid Ahmad +4 more
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Generalizations of Shannon type inequalities via diamond integrals on time scales
Journal of Inequalities and Applications, 2023 The paper generalizes Shannon-type inequalities for diamond integrals. It includes two-dimensional Hölder’s inequality and Cauchy–Schwartz’s inequality, which help to prove weighted Grüss’s inequality for diamond integrals.
Muhammad Bilal +3 more
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