Weighted Hermite-Hadamard-type inequalities for generalizations of Steffensen’s inequality via the extension of Mongomery identity

Abstract

In this paper, we obtain some new weighted Hermite-Hadamard-type inequalities which involve generalizations of Steffensen?s inequality obtained by using the extension of Montgomery identity via Taylor?s formula. Further, we show that by using the extension of Montgomery identity via Fink?s identity we can obtain some other weighted Hermite-Hadamard-type inequalities.