Inequalities of the Jensen and Edmundson-Lah-Ribarič type for 3-convex functions with applications

In this paper we derive some Jensen and Edmundson-Lah-Ribarič type inequalities for positive linear functionals and 3-convex functions. Obtained results are then applied to generalized means and power means, as well as to the generalized f -divergence functional. Examples with Zipf-Mandelbrot law are given. © Element, Zagreb.

Authors
Mikić R.1 , Pečarić D.2 , Pečarić J. 1, 3
Journal
Journal of Mathematical Inequalities
Publisher
Element D.O.O.
Number of issue
3
Language
English
Pages
677-692
Status
Published
Link
External link
DOI
10.7153/JMI-2018-12-52
Year
2018
Organizations
  • 1 Faculty of Textile Technology, University of Zagreb, 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
3-convex functions; Edmundson-Lah-Ribarič inequality; F-divergence; Jensen inequality; Zipf-Mandelbrot law
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38281/
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