engleski

Steffensen Type Inequalites for Convex Functions on Borel σ-Algebra

In the paper, we prove Steffensen type inequalities for positive finite measures by using functions which are convex in point. Further, we prove Steffensen type inequalities on Borel σ-algebra for the function of the form f/h which is convex in point. We conclude the paper by showing that these results also hold for convex functions.

Steffensen’s inequality ; positive measures ; weaker conditions ; convexity in point ; convex functions

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