On Hermite Hadamard-type inequalities for strongly {\varphi}-convex functions

Details On Hermite Hadamard-type inequalities for strongly {\varphi}-convex functions On Hermite Hadamard-type inequalities for strongly {\varphi}-convex functions

2012-03-25

arxiv.org/abs/1203.5497v2

Mathematics

Functional Analysis

Studia Universitatis Babes-Bolyai Mathematica

Scientific paper

In this paper, we introduce the notion of strongly {\varphi}-convex functions with respect to c>0 and present some properties and representation of such functions. We obtain a characterization of inner product spaces involving the notion of strongly {\varphi}-convex functions. Finaly, a version of Hermite Hadamard-type inequalities for strongly {\varphi}-convex functions are established.

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