engleski

Generalized Steffensen type inequalities involving convex functions

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 obtained generalized inequalities are constructed and new families of exponentially convex functions related to constructed functionals are derived.

Steffensen's inequality; generalizations; convex function

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