Steffensen Type Inequalites for Convex Functions on Borel σ-Algebra

Mathematics

Ksenija Smoljak Kalamir¹ 

[1] Department of Fundamental Natural and Engineering Sciences, Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a, 10000 Zagreb, Croatia;

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

DOI  :  10.3390/math9243276

来源: DOAJ

【 摘 要 】

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 $\sigma$-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.

【 授权许可】

Unknown