Hermite-Hadamard type inequalities for p-convex functions via fractional integrals
and
Aug 01, 2017
About this article
Published Online: Aug 01, 2017
Page range: 22 - 34
Received: May 05, 2016
Accepted: Oct 10, 2016
DOI: https://doi.org/10.1515/mjpaa-2017-0003
Keywords
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms. We give some Hermite-Hadamard type inequalities for convex, harmonically convex and p-convex functions. Some results presented in this paper for p-convex functions, provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions.