Generalized Convexity and Integral Inequalities

Authors

Muhammad Aslam Noor, Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanFollow
Khalida Inayat Noor, Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanFollow
Muhammad Uzair Awan, Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanFollow

Author Country (or Countries)

Pakistan

Abstract

In this paper, we consider a very useful and significant class of convex sets and convex functions that is relative convex sets and relative convex functions which was introduced and studied by Noor [20]. Several new inequalities of Hermite-Hadamard type for relative convex functions are established using different approaches. We also introduce relative h-convex functions and is shown that relative h-convex functions include Noor relative convex functions as special cases. Results obtained in this paper may inspire future research in convex analysis and related optimization fields.

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/090129

Recommended Citation

Aslam Noor, Muhammad; Inayat Noor, Khalida; and Uzair Awan, Muhammad (2015) "Generalized Convexity and Integral Inequalities," Applied Mathematics & Information Sciences: Vol. 09: Iss. 1, Article 36.
DOI: http://dx.doi.org/10.12785/amis/090129
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss1/36