Hermite-Hadamard Inequalities for Exponentially Convex Functions

Authors

Muhammad Uzair Awan, Department of Mathematics, GC University, Faisalabad, Pakistan.Follow
Muhammad Aslam Noor, Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.Follow
Khalida Inayat Noor, Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.Follow

Author Country (or Countries)

Pakistan.

Abstract

In this paper, we introduce and investigate a new class of convex functions, which is called exponentially convex functions. Several new Hermite-Hadamard type integral inequalities via exponentially convex functions are established. Some special cases are discussed as applications of our results. The ideas and techniques of this paper may be the starting point for further research in this field.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/journal/100315

Recommended Citation

Uzair Awan, Muhammad; Aslam Noor, Muhammad; and Inayat Noor, Khalida (2018) "Hermite-Hadamard Inequalities for Exponentially Convex Functions," Applied Mathematics & Information Sciences: Vol. 12: Iss. 2, Article 15.
DOI: http://dx.doi.org/10.18576/journal/100315
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss2/15