Hermite-Hadamard type inequality for ψ-Riemann-Liouville fractional integrals via preinvex functions

Author(s):

Nidhi Sharma , Shashi Kant Mishra , Abdelouahed Hamdi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

The main aim of the present paper is to establish a new form of Hermite-Hadamard inequalities using left and right-sided ψ-Riemann-Liouville fractional integrals for preinvex functions and present two basic results of ψ-Riemann-Liouville fractional integral identities including the first-order derivative of a preinvex function. We derive some fractional Hermite-Hadamard inequalities with the help of these results. Further, we pointed out some applications for special means.

Keywords:

Invex sets , preinvex functions , Hermite-Hadamard inequalities , ψ-Riemann-Liouville fractional integrals , Holder's inequality

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:13 Issue: 1, Winter-Spring 2022
Pages:
3333 to 3345
https://magiran.com/p2384813