Results 21 to 30 of about 755,651 (259)
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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On a variant of Čebyšev’s inequality of the Mercer type
Journal of Inequalities and Applications, 2020 We consider the discrete Jensen–Mercer inequality and Čebyšev’s inequality of the Mercer type. We establish bounds for Čebyšev’s functional of the Mercer type and bounds for the Jensen–Mercer functional in terms of the discrete Ostrowski inequality ...
Anita Matković, Josip Pečarić
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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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Chebyshev-Steffensen Inequality Involving the Inner Product
Mathematics, 2022 In this paper, we prove the Chebyshev-Steffensen inequality involving the inner product on the real m-space. Some upper bounds for the weighted Chebyshev-Steffensen functional, as well as the Jensen-Steffensen functional involving the inner product under
Milica Klaričić Bakula +1 more
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On the Converse Jensen-Type Inequality for Generalized f-Divergences and Zipf–Mandelbrot Law
Mathematics, 2022 Motivated by some recent investigations about the sharpness of the Jensen inequality, this paper deals with the sharpness of the converse of the Jensen inequality.
Mirna Rodić
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Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces [PDF]
, 2008 Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
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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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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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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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