Majorization, Csiszár divergence and Zipf-Mandelbrot law [PDF]
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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Quantum Distance Measures Based upon Classical Symmetric Csiszár Divergences [PDF]
Entropy, 2023 We introduce a new family of quantum distances based on symmetric Csiszár divergences, a class of distinguishability measures that encompass the main dissimilarity measures between probability distributions.
Diego G. Bussandri, Tristán M. Osán
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Some inequalities related to Csiszár divergence via diamond integral on time scales [PDF]
Journal of Inequalities and Applications, 2023 In this paper, Csiszár f-divergence via diamond integral is introduced and some inequalities related to Csiszár f-divergence involving diamond integrals are presented.
Muhammad Bilal +3 more
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Some inequalities for Csiszár divergence via theory of time scales [PDF]
Advances in Difference Equations, 2020 In this paper, we present some inequalities for Csiszár f-divergence between two probability measures on time scale. These results extend some known results in the literature and offer new results in h-discrete calculus and quantum calculus.
Iqrar Ansari +4 more
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Refinement of Discrete Lah–Ribarič Inequality and Applications on Csiszár Divergence [PDF]
Mathematics, 2022 In this paper we give a new refinement of the Lah–Ribarič inequality and, using the same technique, we give a refinement of the Jensen inequality. Using these results, a refinement of the discrete Hölder inequality and a refinement of some inequalities ...
Đilda Pečarić +2 more
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Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law [PDF]
Open Mathematics, 2018 In this paper, we consider the definition of “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law associated with the real utility distribution to give the results for majorizatioQn inequalities by using monotonic sequences.
Latif Naveed +2 more
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Refinements of the integral form of Jensen’s and the Lah–Ribarič inequalities and applications for Csiszár divergence [PDF]
Journal of Inequalities and Applications, 2020 In this paper, we give refinements of the integral form of Jensen’s inequality and the Lah–Ribarič inequality. Using these results, we obtain a refinement of the Hölder inequality and a refinement of some inequalities for integral power means and ...
J. Pečarić, J. Perić
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Association of Jensen’s inequality for s-convex function with Csiszár divergence [PDF]
Journal of Inequalities and Applications, 2019 In the article, we establish an inequality for Csiszár divergence associated with s-convex functions, present several inequalities for Kullback–Leibler, Renyi, Hellinger, Chi-square, Jeffery’s, and variational distance divergences by using particular s ...
Muhammad Adil Khan +4 more
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Error Exponents and α-Mutual Information [PDF]
Entropy, 2021 Over the last six decades, the representation of error exponent functions for data transmission through noisy channels at rates below capacity has seen three distinct approaches: (1) Through Gallager’s E0 functions (with and without cost constraints); (2)
Sergio Verdú
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New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality [PDF]
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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