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PUBLISHED MANUSCRIPT

Thesis

Some New Hermite-Hadamard Integral Inequalities for Convex functions

Opeyemi OMOTOYINBO[1]* and Adesanmi MOGBADEMU[2]

Department of Mathematics, Faculty of Science, University of Lagos, Lagos, Nigeria.

1* Correspondence Email address: opetoyinbo@yahoo.com 2amogbademu@unilag.edu.ng
 

Abstract

In this paper, we obtain some new integral inequalities of Hermite-Hadamard type involving two newly introduced convex functions, using a simple analytical technique. A few number of results for special means of real numbers are also deduced for applications.

Key words: Hermite-Hadamard’s inequality, Convex function, Godunova-Levin function, MT-convex function, -Godunova-Levin function, -MT-convex function.

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