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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'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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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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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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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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, 2011 The Jensen's inequality plays a crucial role in the analysis of time-delay and sampled-data systems. Its conservatism is studied through the use of the Gr\"{u}ss Inequality.
Briat, Corentin
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Rocky Mountain Journal of Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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