ON NEW INEQUALITIES OF HERMITE-HADAMARD TYPE  FOR GENERALIZED CONVEX FUNCTIONS

Shahid Qaisar; Chuanjiang He; Sabir Hussain

ON NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR GENERALIZED CONVEX FUNCTIONS

Authors

Shahid Qaisar Chongqing University - College of Mathematics and Statistics
Chuanjiang He Chongqing University - College of Mathematics and Statistics
Sabir Hussain Qassim University - Department of Mathematics

Keywords:

Hermite-Hadamard inequality, φ-convex functions, log-φ-convex, quasi-φ-convex function, Holder’s integral inequality

Abstract

In this article, we obtain some inequalities of Hermite-Hadamard type for functions whose third derivatives absolute values are φ-convex, log φ-convex and quasi-φ-convex.

Author Biography

Shahid Qaisar, Chongqing University - College of Mathematics and Statistics

Cover of n°33 Italian Journal of Pure and Applied Mathematics

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Published

2014-12-29

How to Cite

Qaisar, S., He, C., & Hussain, S. (2014). ON NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR GENERALIZED CONVEX FUNCTIONS . Italian Journal of Pure and Applied Mathematics, 33, 139–148. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6292

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Issue

N°33 - December 2014

Section

Articoli - Forum Editrice

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)