engleski

Weighted Steffensen type inequalities

The well-known Steffensen inequality has been the subject of investigation by many mathematicians. Since its appearance Steffensen's inequality has been generalized, refined and sharpened in many applications. The object of this talk are weighted Steffensen type inequalities for the class of convex functions. Additionally, we give weaker conditions for obtained weighted Steffensen type inequalities. Moreover, by further generalizations of these inequalities we obtain refined and sharpened versions.

Steffensen's inequalitiy ; convex functions ; refinement

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