Majorization, Csiszár divergence and Zipf-Mandelbrot law

Abstract 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 maj...

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Bibliographic Details
Main Authors: Naveed Latif, Ðilda Pečarić, Josip Pečarić
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1472-2