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 . 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)
Aslam Noor, Muhammad; Inayat Noor, Khalida; and Uzair Awan, Muhammad
"Generalized Convexity and Integral Inequalities,"
Applied Mathematics & Information Sciences: Vol. 09
, Article 29.
Available at: https://dc.naturalspublishing.com/amis/vol09/iss1/29