Converses of the Edmundson-Lah-Ribarič inequality for generalized Csiszár divergence with applications to Zipf-Mandelbrot law

In this paper we obtain some estimates for the generalized f-divergence functional via converses of the Jensen and Edmundson-Lah-Ribarič inequalities for convex functions, and then we obtain some estimates for the Kullback-Leibler divergence. All of the obtained results are applied to Zipf-Mandelbrot law and Zipf law. © 2018 Sobolev Institute of Mathematics.

Authors
Mikić R.1 , Pečarić D.2 , Pečarić J. 3
Journal
Annals of the University of Craiova, Mathematics and Computer Science Series
Publisher
University of Craiova
Number of issue
2
Language
English
Pages
243-257
Status
Published
Link
External link
Volume
45
Year
2018
Organizations
  • 1 University of Zagreb, Faculty of Textile Technology, Prilaz baruna, Filipovića 28a, Zagreb, 10 000, Croatia
  • 2 Catholic University of Croatia, Ilica 242, Zagreb, 10 000, Croatia
  • 3 RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
Keywords
Convex functions; Edmundson-Lah-Ribarič inequalitiy; F-divergence; Kullback-Leibler divergence; Zipf law; Zipf-Mandelbrot law
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