Some results on Hermite-Hadamard type inequalities with respect to fractional integrals

Document Type : Research Articles

Authors

1 Department of Mathematics, University of Jiroft, Jiroft, Kerman, Iran

2 Faculty of Technology and Mining, Yasouj University, Choram, Iran

10.22080/cjms.2020.17502.1437

Abstract

In this paper, we establish Hermite-Hadamard type inequalities for uniformly p-convex
functions. Also, a new fractional Hermite-Hadamard type inequality
for convex functions is obtained by using only the left Riemann-Liouville fractional
integral. Finally some extimation of left fractional integration studies for Hermite-
Hadamard type inequalities.

Keywords