Recently, many fractional integral operators were introduced by dierent mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was dened by Atangana and Baleanu in [2]. In this study, rstly, a new identity by using Atangana-Baleanu fractional integral operators are proved. Then, new fractional integral inequalities have been obtained for convex and concave functions with the help of this identity and some certain integral inequalities.

Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions

MARIA ALESSANDRA RAGUSA
;
2021-01-01

Abstract

Recently, many fractional integral operators were introduced by dierent mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was dened by Atangana and Baleanu in [2]. In this study, rstly, a new identity by using Atangana-Baleanu fractional integral operators are proved. Then, new fractional integral inequalities have been obtained for convex and concave functions with the help of this identity and some certain integral inequalities.
2021
Convex functions, Holder inequality, Young inequality, power mean inequality, Atangana-Baleanu fractional derivative, Atangana-Baleanu fractinal derivative
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/511905
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