Results 11 to 20 of about 7,191 (277)
Mathematics, 2019 The aim of this paper is to establish some refined versions of majorization inequality involving twice differentiable convex functions by using Taylor theorem with mean-value form of the remainder.
Shanhe Wu +2 more
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Majorization theorems for strongly convex functions
Journal of Inequalities and Applications, 2019 In the article, we present several majorization theorems for strongly convex functions and give their applications in inequality theory. The given results are the improvement and generalization of the earlier results.
Syed Zaheer Ullah +2 more
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Slepian’s inequality with respect to majorization
Linear Algebra and its Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang, Longxiang, Zhang, Xinsheng
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Majorization and Rényi entropy inequalities via Sperner theory
Discrete Mathematics, 2019 Introduction was completely rewritten and there are numerous corrections.
Mokshay Madiman, Liyao Wang, Jae Oh Woo
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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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Some inequalities of majorization type
Linear Algebra and its Applications, 2012 Some majorization inequalities on real vectors are provided and applied to derive some inequalities concerning norm, eigenvalues, singular values and traces of matrices. For a vector \(x=(x_1,x_2,\dots,x_n)\in{\mathbb R}^n\) one denotes by \(x^{\downarrow}=(x^{\downarrow}_1,x^{\downarrow}_2,\dots,x^{\downarrow}_n)\) the vector having the components of \
Turkman, Ramazan +2 more
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On an upper bound for Sherman’s inequality
Journal of Inequalities and Applications, 2016 Considering a weighted relation of majorization, Sherman obtained a useful generalization of the classical majorization inequality. The aim of this paper is to extend Sherman’s inequality to convex functions of higher order.
Slavica Ivelić Bradanović +2 more
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On Jensen’s type inequalities via generalized majorization inequalities
Filomat, 2018 In this paper, we give generalizations of Jensen?s, Jensen-Steffensen?s and converse of Jensen?s inequalities by using generalized majorization inequalities. We also present Gr?ss and Ostrowski-type inequalities for the generalized inequalities.
Khan J., Khan M.A., Pečarić J.
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Majorization inequalities via convex functions
The Electronic Journal of Linear Algebra, 2022 Convex functions have been well studied in the literature for scalars and matrices. However, other types of convex functions have not received the same attention given to the usual convex functions. The main goal of this article is to present matrix inequalities for many types of convex functions, including log-convex, harmonically convex ...
Mohsen Kian, Mohammad Sababheh
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