On Hermite Hadamard-type inequalities for strongly {\varphi}-convex functions
Functional Analysis
2012-06-26 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1203.5497,
title = {On Hermite Hadamard-type inequalities for strongly {\varphi}-convex functions},
author = {Mehmet Zeki Sarikaya},
journal= {arXiv preprint arXiv:1203.5497},
year = {2012}
}