Title of article :
Hermite-Hadamard type inequality for ψ-Riemann-Liouville fractional integrals via preinvex functions
Author/Authors :
Sharma, Nidhi Department of Mathematics - Institute of Science - Banaras Hindu University, Varanasi, India , Kant Mishra, Shashi Department of Mathematics - Institute of Science - Banaras Hindu University, Varanasi, India , Hamdi, Abdelouahed Department of Mathematics Statistics and Physics - College of Arts and Sciences - Qatar University, Doha, Qatar
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 , Hermite-Hadamard inequalities , ψ -Riemann-Liouville fractional integrals , Holder's inequality , preinvex functions
Journal title :
International Journal of Nonlinear Analysis and Applications
