Weighted Steffensen Type Inequalities Involving Convex Functions

Authors : Josip Pecaric, Ksenija Smoljak Kalamir

Pages : 84-91

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Publication Date : 2018-04-15

Article Type : Research

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