Publication: Integral inequalities for some convexity classes via Atangana-Baleanu integral operators
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Authors
Authors
Çelik, B.
Ozdemir, M. E.
Akdemir, A. O.
Set, E.
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Erhan SET
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Abstract
In this paper, firstly, definitions of different classes of convexity, Riemann-Liouville fractional integral and Atangana-Baleanu fractional integral operator are given. In the second part, which constitutes the main results, by using the identity given by Set et al. in [20], some new integral inequalities for quasi-convex and P-function via Atangana-Baleanu fractional integral operators are obtained.
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Keywords
Young inequality, Quasi-Convex function, power mean inequality, P-function, Hölder inequality, Atangana-Baleanu fractional integral operators