ON SOME INTEGRAL INEQUALITIES FOR (s;m)-CONVEX FUNCTIONS

ON SOME INTEGRAL INEQUALITIES FOR (s;m)-CONVEX FUNCTIONS

B. Bayraktar, M. Gürbüz

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Abstract

A new identity has been handled in this paper. It allows to derive new inequalities referring to upper estimation of the Jensen functional in the class of (s;m)- convex functions. Also some applications for special means are given by using new inequalities.

Keywords

Convex function, (s;m)-convex, Hermite-Hadamard inequalitiy, Holder inequality, power mean inequality.