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

Authors : Ali KARAOĞLAN, Barış ÇELİK, Erhan SET, Ahmet Ocak AKDEMİR

Pages : 127-145

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Publication Date : 2021-07-31

Article Type : Research Paper

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 : Di erentiable convex functions, Holder inequality, Young inequality, power mean inequality, Atangana Baleanu fractional integral