Refinements of the integral form of Jensen’s and the Lah–Ribarič inequalities and applications for Csiszár divergence

In this paper, we give refinements of the integral form of Jensen’s inequality and the Lah–Ribarič inequality. Using these results, we obtain a refinement of the Hölder inequality and a refinement of some inequalities for integral power means and quasiarithmetic means. We also give applications in information theory, namely, we give some interesting estimates for the integral Csiszár divergence and its important particular cases. © 2020, The Author(s).

Authors
Pečarić J. 1 , Perić J.2
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Number
108
Volume
2020
Year
2020
Organizations
  • 1 RUDN University, Moscow, Russian Federation
  • 2 Department of Mathematics, Faculty of Science, University of Split, Split, Croatia
Keywords
Csiszár divergence; Hermite–Hadamard inequality; Hölder inequality; Integral form; Jensen’s inequality; Lah–Ribarič inequality
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/65273/
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