Bounds for Csiszár divergence and hybrid Zipf-Mandelbrot entropy

The purpose of this paper is to give a series of inequalities of the Jensen type and their applications for Csiszár divergence. By using these results, we give many estimations for hybrid Zipf-Mandelbrot entropy. © 2019 John Wiley & Sons, Ltd.

Authors
Adil Khan M. , Pečarić Ð.2 , Pečarić J. 3
Journal
Mathematical Methods in the Applied Sciences
Publisher
John Wiley and Sons Ltd
Number of issue
18
Language
English
Pages
7411-7424
Status
Published
Link
External link
DOI
10.1002/mma.5858
Volume
42
Year
2019
Organizations
  • 1 Department of Mathematics, University of Peshawar, Peshawar, 25000, Pakistan
  • 2 Catholic University of Croatia, Ilica 242, Zagreb, 10000, Croatia
  • 3 RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
Keywords
convex functions; Csiszár divergence; hybrid Zipf-Mandelbrot entropy; Jensen's inequality; Slater's inequality
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/54819/
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