Steffensen Type Inequalites for Convex Functions on Borel σ -Algebra

Ksenija Smoljak Kalamir
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Ksenija Smoljak Kalamir: Department of Fundamental Natural and Engineering Sciences, Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a, 10000 Zagreb, Croatia

Mathematics, 2021, vol. 9, issue 24, 1-15

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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