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Some complementary inequalities to Jensen’s operator inequality [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we study some complementary inequalities to Jensen's inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions. New improved complementary inequalities are presented by using an improvement of the Mond-Pečarić method.
Jadranka Mićić +2 more
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New refinement of the Jensen inequality associated to certain functions with applications
Journal of Inequalities and Applications, 2020 This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory.
Muhammad Adil Khan +2 more
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Sharpening Jensen's Inequality [PDF]
The American Statistician, 2018 This paper proposes a new sharpened version of the Jensen's inequality. The proposed new bound is simple and insightful, is broadly applicable by imposing minimum assumptions, and provides fairly accurate result in spite of its simple form. Applications to the moment generating function, power mean inequalities, and Rao-Blackwell estimation are ...
Liao, J. G., Berg, Arthur
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Jensen–Mercer inequality for GA-convex functions and some related inequalities
Journal of Inequalities and Applications, 2020 In this paper, firstly, we prove a Jensen–Mercer inequality for GA-convex functions. After that, we establish weighted Hermite–Hadamard’s inequalities for GA-convex functions using the new Jensen–Mercer inequality, and we establish some new inequalities ...
İmdat İşcan
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A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications
Journal of Function Spaces, 2022 In this paper, we present a new refinement of the integral Jensen inequality by utilizing certain functions and give its applications to various means.
Zaid Mohammed Mohammed Mahdi Sayed +3 more
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Nested Inequalities Among Divergence Measures [PDF]
, 2012 In this paper we have considered a single inequality having 11 known divergence measures. This inequality include measures like: Jeffryes-Kullback-Leiber J-divergence, Jensen-Shannon divergence (Burbea-Rao, 1982), arithmetic-geometric mean divergence ...
Taneja, Inder Jeet
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Characterization of the Hardy property of means and the best Hardy constants [PDF]
, 2015 The aim of this paper is to characterize in broad classes of means the so-called Hardy means, i.e., those means $M\colon\bigcup_{n=1}^\infty \mathbb{R}_+^n\to\mathbb{R}_+$ that satisfy the inequality $$ \sum_{n=1}^\infty M(x_1,\dots,x_n) \le C\sum_{n=1}
Pasteczka, Paweł, Páles, Zsolt
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On quantum Hermite-Jensen-Mercer inequalities
Miskolc Mathematical Notes, 2023 A. M. Mercer prove a new version of well-known Jensen inequality which is called Jensen-Mercer inequality [16]. By using Jensen-Mercer inequality, Kian and Moslehian establish a new variant of Hermite-Hadamard inequality which is called Hermite-Jensen-Mercer inequality [15].
Budak, Hüseyin, Kara, Hasan
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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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Properties and Bounds of Jensen-Type Functionals via Harmonic Convex Functions
Journal of Mathematics, 2021 Dragomir introduced the Jensen-type inequality for harmonic convex functions (HCF) and Baloch et al. studied its different variants, such as Jensen-type inequality for harmonic h-convex functions. In this paper, we aim to establish the functional form of
Aqeel Ahmad Mughal +3 more
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