Steffensen Type Inequalites for Convex Functions on Borel <i>σ</i>-Algebra

Abstract

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.

Keywords

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