Integral inequalities via generalized convex functions

Volume 17, Issue 4, pp 465-476

Publication Date: 2017-09-23

http://dx.doi.org/10.22436/jmcs.017.04.03

Authors

Muhammad Aslam Noor - Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan
Khalida Inayat Noor - Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan
Farhat Safdar - Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan

Abstract

In this paper, we introduce and investigate a new class of generalized convex functions, called generalized log-convex function. We establish some new Hermite-Hadamard integral inequalities via generalized log-convex functions. Our results represent refinement and improvement of the previously known results. Several special cases are also discussed. The concepts and techniques of this paper may stimulate further research in this field.

Keywords

Generalized convex functions, generalized \(\log\)-convex functions, Hermite-Hadamard type inequalities

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