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On strongly generalized convex functions

Awan Muhammad Uzair (GC University, Mathematics Department, Faisalabad, Pakistan)
Noor Muhammad Aslam (Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan)
Noor Khalida Inayat (Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan)
Safdar Farhat (Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan)

The main objective of this article is to introduce the notion of strongly generalized convex functions which is called as strongly η-convex functions. Some related integral inequalities of Hermite-Hadamard and Hermite-Hadamard-Fejér type are also obtained. Special cases are also investigated.

Keywords: Convex, η-convex, function, Hermite-Hadamard, Fejér, inequalities