Inequalities of the Edmundson-Lah-Ribarč type for n-convex functions with applications

Abstract

UDC 517.5 We derive some Edmundson – Lah – Ribarič type inequalities for positive linear functionals and -convex functions. Main results are applied to the generalized -divergence functional. Examples with Zipf – Mandelbrot law are used to illustrate the results.