CEUR Workshop Proceedings. Vol. 2267. 2018. P.. 638-644
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
Publisher
Element D.O.O.
Issue number
3
Language
English
Pages
677-692
State
Published
Link
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
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