Inequalities of the Edmundson-Lah-Ribari\v{c} type for n-convex functions with applications

TL;DR

This paper establishes new inequalities of Edmundson-Lah-Ribaric type for positive linear functionals and n-convex functions, with applications to generalized divergence measures and Zipf-Mandelbrot law examples.

Contribution

It introduces novel inequalities for n-convex functions and positive linear functionals, extending existing theoretical frameworks with practical applications.

Findings

Derived inequalities for n-convex functions and positive linear functionals.

Applied inequalities to generalized f-divergence functional.

Illustrated results using Zipf-Mandelbrot law examples.

Abstract

In this paper we derive some Edmundson-Lah-Ribaric type inequalities for positive linear functionals and n-convex functions. Main results are applied to the generalized f-divergence functional. Examples with Zipf-Mandelbrot law are used to illustrate the results.