engleski

Steffensen type inequalities involving convex functions

In this paper a new class of functions M_1^c[a, b] that extends the class of convex functions is introduced. Moreover, Steffensen type inequalities for the class of convex functions are proved as a consequence of more general inequalities for class M_1^c[a, b]. Using the linear functionals constructed from the difference of the left and the right hand side of proved Steffensen type inequalities new families of exponentially convex functions and related results are obtained.

Steffensen inequality; monotonic functions; weaker conditions; exponential convexity

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