On strongly generalized convex functions of higher order

In this paper, we have introduced the notion of strongly generalized convex functions of higher order. We derived new integral inequalities of Hermite-Hadamard and HermiteHadamard-Féjer type for the class of strongly generalized convex functions of higher order. The results of Awan et al. [M. U. AWAN, M. A. NOOR, K. I. NOOR AND F. SAFDAR, On strongly generalized convex functions, Filomat 31, 18 (2017), 5783–5790] are the special case of the results obtained in this paper. Mathematics subject classification (2010): 26A51, 26D15.