On New Inequalities Involving AB-fractional Integrals for Some Convexity Classes

Year 2021, Volume: 2 Issue: 2, 127 - 145, 31.07.2021

Ali Karaoğlan Barış Çelik , Erhan Set , Ahmet Ocak Akdemir

Abstract

During the past two decades or so, fractional integral operators have been one of the most important tools in the development of inequality theory. By this means, a lot of generalized integral inequalities involving various fractional integral operators have been presented in the literature. Very recently, Atangana-Baleanu fractional integral operators has been introduced by Atangana and Baleanu and with the help of these operators some new integral inequalities are obtained. The main aim of the paper is to establish some new integral inequalities for quasi-convex function and P -function via Atangana-Baleanu integral operators by using identity which was produced by Set et al. in [16].

Keywords

Dierentiable convex functions, Holder inequality, Young inequality, power mean inequality, Atangana-Baleanu fractional integral.

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