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Uniform Treatment of Integral Majorization Inequalities with Applications to Hermite-Hadamard-Fejér-Type Inequalities and f-Divergences [PDF]
Entropy, 2023 In this paper, we present a general framework that provides a comprehensive and uniform treatment of integral majorization inequalities for convex functions and finite signed measures.
László Horváth
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Generalizations of Fano’s Inequality for Conditional Information Measures via Majorization Theory [PDF]
Entropy, 2020 Fano’s inequality is one of the most elementary, ubiquitous, and important tools in information theory. Using majorization theory, Fano’s inequality is generalized to a broad class of information measures, which contains those of Shannon and ...
Yuta Sakai
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Some majorization integral inequalities for functions defined on rectangles [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles.
Shanhe Wu +3 more
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Journal of Mathematics, 2021 In this study, we present some new refinements of the Jensen inequality with the help of majorization results. We use the concept of convexity along with the theory of majorization and obtain refinements of the Jensen inequality.
Yongping Deng +4 more
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Axioms, 2023 In the recent era of research developments, mathematical inequalities and their applications perform a very consequential role in different aspects, and they provide an engaging area for research activities.
Abdul Basir +5 more
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Advances in Difference Equations, 2020 In this paper we give generalized results of a majorization inequality by using extension of the Montgomery identity and newly defined Green’s functions (Mehmood et al. in J. Inequal. Appl. 2017(1):108, 2017). We obtain a generalized majorization theorem
Nouman Siddique +3 more
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Refinements of Jensen's inequality and applications
AIMS Mathematics, 2022 The principal aim of this research work is to establish refinements of the integral Jensen's inequality. For the intended refinements, we mainly use the notion of convexity and the concept of majorization.
Tareq Saeed +2 more
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Fischer Type Log-Majorization of Singular Values on Partitioned Positive Semidefinite Matrices
Journal of Function Spaces, 2021 In this paper, we establish a Fischer type log-majorization of singular values on partitioned positive semidefinite matrices, which generalizes the classical Fischer's inequality. Meanwhile, some related and new inequalities are also obtained.
Benju Wang, Yun Zhang
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Improvements of Integral Majorization Inequality with Applications to Divergences
Axioms, 2023 Within the recent wave of research advancements, mathematical inequalities and their practical applications play a notably significant role across various domains.
Abdul Basir +5 more
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Majorization, Csiszár divergence and Zipf-Mandelbrot law
Journal of Inequalities and Applications, 2017 In this paper we show how the Shannon entropy is connected to the theory of majorization. They are both linked to the measure of disorder in a system. However, the theory of majorization usually gives stronger criteria than the entropic inequalities.
Naveed Latif +2 more
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