%0 Journal Article
%T Hermite-Hadamard type inequality for $\psi$-Riemann-Liouville fractional integrals via preinvex functions
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Sharma, Nidhi
%A Mishra, Shashi Kant
%A Hamdi, Abdelouahed
%D 2022
%\ 03/01/2022
%V 13
%N 1
%P 3333-3345
%! Hermite-Hadamard type inequality for $\psi$-Riemann-Liouville fractional integrals via preinvex functions
%K Invex sets
%K preinvex functions
%K Hermite-Hadamard inequalities, $\psi$-Riemann-Liouville fractional integrals, Holder's inequality
%R 10.22075/ijnaa.2021.21475.2262
%X The main aim of the present paper is to establish a new form of Hermite-Hadamard inequalities using left and right-sided $\psi$-Riemann-Liouville fractional integrals for preinvex functions and present two basic results of $\psi$-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.
%U https://ijnaa.semnan.ac.ir/article_6094_224eee254ae0346baac2665a93e64960.pdf