engleski

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

We derive some Edmundson – Lah – Ribarič 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.

Jensen inequality ; Edmundson-Lah-Ribarič inequality ; n-convex functions ; divided differences ; f-divergence ; Zipf-Mandelbrot law

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