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A New Class of Generalized Convex Functions and Integral Inequalities
Book chapter

A New Class of Generalized Convex Functions and Integral Inequalities

Mohamed Jleli, Donal O'Regan and Bessem Samet
Advances in Mathematical Inequalities and Applications, pp.71-89
Trends in Mathematics, BIRKHAUSER
01/01/2018

Abstract

Mathematics Physical Sciences Science & Technology
In this chapter, we introduce the class of eta(phi)-convex functions which is larger than the class of.-convex functions introduced by Gordji et al. (Preprint Rgmia Res Rep Coll 1-14, 2015 [1]). Some Fejer type integral inequalities are established for this new class of functions. As consequences, we deduce some Hermite-Hadamard type inequalities involving different kinds of fractional integrals.

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