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Steffensen Type Inequalites for Convex Functions on Borel σ -Algebra

Author

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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)

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.

Suggested Citation

  • Ksenija Smoljak Kalamir, 2021. "Steffensen Type Inequalites for Convex Functions on Borel σ -Algebra," Mathematics, MDPI, vol. 9(24), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3276-:d:704184
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