On ( α ,m,h)-Convexity

Authors

Muhammad Aslam Noor, Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.Follow
Muhammad Uzair Awan, Department of Mathematics, GC University, Faisalabad, PakistanFollow
Khalida Inayat Noor, Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.Follow
Themistocles M. Rassias, Department of Mathematics, National Technical University of Athens, Athens, Greece.Follow

Author Country (or Countries)

Pakistan.

Abstract

The main objective of this article is to introduce the class of ( α ,m,h)-convex functions. It is shown that this class unifies several new and known classes of convex functions. Some new integral inequalities of Hermite-Hadamard type are obtained. Some special cases are also discussed.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120114

Recommended Citation

Aslam Noor, Muhammad; Uzair Awan, Muhammad; Inayat Noor, Khalida; and M. Rassias, Themistocles (2018) "On ( α ,m,h)-Convexity," Applied Mathematics & Information Sciences: Vol. 12: Iss. 1, Article 14.
DOI: http://dx.doi.org/10.18576/amis/120114
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss1/14