Weighted Steffensen Type Inequalities Involving Convex Functions

Authors : Josip PECARİC, Ksenija Smoljak KALAMİR

Pages : 84-91

View : 15 | Download : 10

Publication Date : 2018-04-15

Article Type : Research Paper

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