Weighted Steffensen Type Inequalities Involving Convex Functions

Year 2018, Volume: 6 Issue: 1, 84 - 91, 15.04.2018

Josip Pecaric , Ksenija Smoljak Kalamir

Abstract

The object is to obtain weighted Steffensen type inequalities for the class of convex functions using inequalities for the class of functions that are "convex at point $c$''. Additionally, we give weaker conditions for obtained weighted Steffensen type inequalities. Moreover, by further generalizations of these inequalities we obtain refined and sharpened versions.

Keywords

Steffensen's inequality, measure theory, generalizations, convex function

References

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