Ostrowski-type inequalities for functions whose derivative modulus is relatively (m, h1 , h2) − convex

Abstract

We have found some new Ostrowski-type inequalities for functions whose derivative module is relatively (m, h1, h2) − convex. From the main results some corollaries refereeing to relative convexity, relative P − convexity, relative m − convexity, relative s − convexity in the second sense and relative (s, m) − convexity are deduced. Also some inequalities of Hermite-Hadamard type are obtained.