<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

Hermite-Hadamard type inequalities for p-convex functions via fractional integrals

Moroccan Journal of Pure and Applied Analysis

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 inequalities for p-convex functions via fractional integrals

Publié en ligne: 01 août 2017

Pages: 22 - 34

Reçu: 05 mai 2016

Accepté: 10 oct. 2016

DOI: https://doi.org/10.1515/mjpaa-2017-0003

Mots clés
Hermite-Hadamard inequalities,fractional integral, convex functions, harmonically convex functions, p-convex functions

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Hermite-Hadamard type inequalities for p-convex functions via fractional integrals

Publié en ligne: 01 août 2017

Pages: 22 - 34

Reçu: 05 mai 2016

Accepté: 10 oct. 2016

DOI: https://doi.org/10.1515/mjpaa-2017-0003

Mots clésHermite-Hadamard inequalities,fractional integral, convex functions, harmonically convex functions, p-convex functions

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
Hermite-Hadamard inequalities,fractional integral, convex functions, harmonically convex functions, p-convex functions