INTEGRAL INEQUALITIES VIA log m-CONVEX FUNCTIONS

INTEGRAL INEQUALITIES VIA log m-CONVEX FUNCTIONS

M. A. Noor, K. I. Noor, F. Safdar

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Abstract

In this paper, we introduce and investigate a new concept of log m-convex functions. We establish some new Hermite-Hadamard type integral inequalities via log m-convex functions. Our results represent refinement and improvement of the previously known results. Several special cases are also discussed. The concept and technique of this paper may stimulate further research in this field.

Keywords

m-convex functions; log m-convex functions; Hermite-Hadamard type in- equalities.