Generalized Steffensen Type Inequalities Involving Convex Functions

Abstract EN

In this paper generalized Steffensen type inequalities related to the class of functions that are “convex at point c ” are derived and as a consequence inequalities involving the class of convex functions are obtained.

Moreover, linear functionals from the difference of the right- and left-hand side of the obtained generalized inequalities are constructed and new families of exponentially convex functions related to constructed functionals are derived.