SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE PRODUCTS WITH EXPONENTIALS ARE CONVEX

S. S. DRAGOMIR, I. GOMM

Victoria University College of Engineering and Science Ballarat Road, Footscray, Melbourne 8001 Victoria, AUSTRALIA e-mail: sever.dragomir@vu.edu.au, ian.gomm@vu.edu.au

Abstract

We prove several inequalities of Hermite-Hadamard type for real functions having a convex product with an exponential exp (α·) for some nonzero real number α:

Keywords

Convex functions Hermite-Hadamard inequality Special means