Inequalities Associated with Invariant Harmonically h-Convex Functions

Authors

Muhammad Uzair Awan, Department of Mathematics, GC University, Faisalabad, PakistanFollow
Muhammad Aslam Noor, Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanFollow
Marcela V. Mihai, Department of Mathematics, University of Craiova, Street A. I. Cuza 13, Craiova, RO-200585, Romania.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 a new class of harmonically convex functions which is called invariant harmonically h-convex function. We show that the class of invariant harmonically h-convex functions unifies several other new and classes of invariant harmonically convex functions. Some associated integral inequalities of Hermite-Hadamard type are obtained. Several special cases are also discussed.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110604

Recommended Citation

Uzair Awan, Muhammad; Aslam Noor, Muhammad; V. Mihai, Marcela; and Inayat Noor, Khalida (2017) "Inequalities Associated with Invariant Harmonically h-Convex Functions," Applied Mathematics & Information Sciences: Vol. 11: Iss. 6, Article 4.
DOI: http://dx.doi.org/10.18576/amis/110604
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss6/4