engleski

Generalizations of Steffensen type inequalities involving convex functions

Using generalization of Steffensen's inequality obtained by Pečarić in 1982 we derive generalized Steffensen type inequalities related to the class of functions that are "convex at point c" and as a consequence we obtain inequalities involving the class of convex functions. Furthermore, we construct linear functionals from the difference of the right- and left-hand side of obtained generalized inequalities and derive new families of exponentially convex functions related to constructed functionals.

Steffensen's inequality; generalizations; convex functions

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