Results 11 to 20 of about 4,143 (285)
A Refined Jensen Inequality Connected to an Arbitrary Positive Finite Sequence
Mathematics, 2022 The prime purpose of this paper is to provide a refinement of Jensen’s inequality in connection with a positive finite sequence. We deal with the refinement for particular cases and point out the relation between the new result with earlier results of ...
Shanhe Wu +3 more
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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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Bounds for the Jensen Gap in terms of Power Means with Applications
Journal of Function Spaces, 2021 Jensen’s and its related inequalities have attracted the attention of several mathematicians due to the fact that Jensen’s inequality has numerous applications in almost all disciplines of mathematics and in other fields of science.
Xuexiao You +2 more
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Electronics Letters, 2023 Using Jensen's inequality and integration by parts, some tight upper bounds are derived on the Gaussian Q‐function. The tightness of the bounds obtained by Jensen's inequality can be improved by increasing the number of exponential terms, and one of them
Hang‐Dan Zheng +3 more
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Interval valued Jensen’s inequalities for h-convex functions on time scales
Arab Journal of Basic and Applied Sciences, 2023 In the paper, we study dynamic h-convexity for interval valued functions. Some generalizations of Jensen’s inequality in interval valued analysis for h-convex functions on time scales are proved in the paper. In seek of applications of generalized Jensen’
Ammara Nosheen +3 more
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The Jensen-Grüss inequality [PDF]
Mathematical Inequalities & Applications, 2002 The Jensen-Gruss inequality is proved, that is conversion of Jensen's inequality related to the well known Gruss inequality.
Pečarić, Josip, Budimir, Ivan
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New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality
Complexity, 2020 Jensen’s inequality is one of the fundamental inequalities which has several applications in almost every field of science. In 2003, Mercer gave a variant of Jensen’s inequality which is known as Jensen–Mercer’s inequality. The purpose of this article is
Muhammad Adil Khan +2 more
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Hardy Martingales and Jensen's inequality [PDF]
Bulletin of the Australian Mathematical Society, 1997 Hardy martingales were introduced by Garling and used to study analytic functions on the N-dimensional torus 𝕋N, where analyticity is defined using a lexicographic order on the dual group ℤN. We show how, by using basic properties of orders on ℤN, we can apply Garling's method in the study of analytic functions on an arbitrary compact Abelian group ...
Asmar, Nakhlé H. +1 more
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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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Refinements of the Converse Hölder and Minkowski Inequalities
Mathematics, 2022 We give a refinement of the converse Hölder inequality for functionals using an interpolation result for Jensen’s inequality. Additionally, we obtain similar improvements of the converse of the Beckenbach inequality.
Josip Pečarić +2 more
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