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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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The Interplay between Error, Total Variation, Alpha-Entropy and Guessing: Fano and Pinsker Direct and Reverse Inequalities [PDF]
Entropy, 2023 Using majorization theory via “Robin Hood” elementary operations, optimal lower and upper bounds are derived on Rényi and guessing entropies with respect to either error probability (yielding reverse-Fano and Fano inequalities) or total variation ...
Olivier Rioul
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Relationship between concentration ratio and Herfindahl-Hirschman index: A re-examination based on majorization theory [PDF]
Heliyon, 2018 While the two most widely used measures of market (industrial) concentration, the m-firm concentration ratio CRm and the Herfindahl-Hirschman index H, have no precise functional relationship, they can be related by means of boundary formulations.
Tarald O. Kvålseth
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Continuous majorization in quantum phase space [PDF]
Quantum, 2023 We explore the role of majorization theory in quantum phase space. To this purpose, we restrict ourselves to quantum states with positive Wigner functions and show that the continuous version of majorization theory provides an elegant and very natural ...
Zacharie Van Herstraeten +2 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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New Inequalities and Generalizations for Symmetric Means Induced by Majorization Theory
Axioms, 2022 In this paper, the authors study new inequalities and generalizations for symmetric means and give new proofs for some known results by applying majorization theory.
Huan-Nan Shi, Wei-Shih Du
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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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Major Theories of Personality Disorder [PDF]
Archives of General Psychiatry, 1997 The editors have compiled a useful and timely volume. It is useful because it brings together some of the more important theories of personality disorder in a single volume, thereby facilitating comparison and analysis. The editors express the hope that this will fill the conceptual and theoretical void in the study of personality disorder.
Jeffrey L. Geller, Len Sperry
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Demonstratio Mathematica, 2023 The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from the research point of view. Currently, mathematicians are working on extending, improving, and generalizing this inequality.
Saeed Tareq +4 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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