Mathematical Inequalities and Applications. Vol. 22. 2019. P.. 1379-1384
CONVERSE TO THE SHERMAN INEQUALITY WITH APPLICATIONS
In this paper we proved a converse to Sherman's inequality. Using the concept of f - divergence we obtained some inequalities for the well-known entropies. We also introduced a new entropy by applying the Zipf-Mandelbrot law and derived some related inequalities.
Authors
Barbir A. 1 , Bradanovic S.I. 1 , Pecaric D. 2 , Pecaric J. 3
Publisher
Element D.O.O.
Issue number
4
Language
English
Pages
1405-1419
State
Published
Volume
22
Year
2019
Organizations
- 1 Univ Split, Fac Civil Engn Architecture & Geodesy, Matice Hrvatske 15, Split 21000, Croatia
- 2 Catholic Univ Croatia, Ilica 242, Zagreb 10000, Croatia
- 3 RUDN Univ, Moscow, Russia
Keywords
Sherman inequality; Majorization inequality; Jensen inequality; f-divergence; Zipf-Mandelbrot entropy; convex function
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Other records
Mathematical Inequalities and Applications. Vol. 22. 2019. P.. 1427-1449