Webb22 jan. 2016 · Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods rather than as consequences of … Webb9 juni 2024 · The book of E. H. Lieb and M. Loss [282] offers a thorough presentation of the theory of symmetric decreasing rearrangements and its applications. Majorization is sometimes related to inequality measurement, but in a series of problems like tax progression and income redistribution, Condorcet jury theorems, “fair representation” in …
A. Marshall and I. Olkin, Inequalities: Theory of Majorization and …
Webb25 nov. 2010 · Inequalities: Theory of Majorization and Its Applications Springer Series in Statistics: Authors: Albert W. Marshall, Ingram Olkin, Barry C. Arnold: Edition: 2, … Webb8 juni 2012 · Inequalities: Theory of Majorization and Its Applications, 2nd edition by A. W. Marshall, I. Olkin and B. C. Arnold, Springer. Probability in the Engineering and … hiroinnsohuto
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Webb24 aug. 2024 · 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. We give some generalized results for majorization inequality using Csiszár f-divergence. This … Webb23 aug. 2016 · Amazon.com: Inequalities: Theory of Majorization and Its Applications (Springer Series in Statistics): 9781493938278: Marshall, … Webb6 dec. 2014 · Moreover, the derivation of an inequality by methods of majorization is often very helpful both for providing a deeper understanding and for suggesting natural generalizations. Anyone wishing to employ majorization as a tool in applications can make use of the theorems; for the most part, their statements are easily understood. hiroinzetumetu