On Generalizations of Hadamard Inequalities for Fractional Integrals

Author(s):

Gh. Farid* , A. Ur Rehman , M. Zahra

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
Fej'{e}r Hadamard inequality is generalization of Hadamard inequality. In this paper we prove certain Fej'{e}r Hadamard inequalities for $k$-fractional integrals.
We deduce Fej'{e}r Hadamard-type inequalities for Riemann-Liouville fractional integrals. Also as special case Hadamard inequalities for $k$-fractional as well as fractional integrals are given.
Keywords:

Convex functions , Hermite-Hadamard inequalities , Fej'{e}r Hadamard inequality , Riemann-Liouville fractional integrals

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:13 Issue: 2, Nov 2018
Pages:
71 to 81
https://www.magiran.com/p1897881