Extension of Cerone's Generalizations of Steffensen's Inequality

Authors

  • Julije Jaksetic
  • Josip Pecaric
  • Ksenija Smoljak Kalamir

Keywords:

Steffensen's inequality, Cerone's generalizations, Borel σ-algebra, weaker conditions.

Abstract

The aim of this paper is to extend Cerone's generalization of Steffensen's inequality to positive finite measures and to give weaker conditions for obtained extension. Further, our intension is to obtain extensions of known generalizations of Steffensen's inequality in order to allow bounds that involve any two subintervals using measure theoretic aspects.

Key words and phrases. Steffensen's inequality, Cerone's generalizations, Borel σ-algebra, weaker conditions.

2000 Mathematics Subject Classification. 26D15, 26D20

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Published

2025-05-18

How to Cite

Julije Jaksetic, Josip Pecaric, & Ksenija Smoljak Kalamir. (2025). Extension of Cerone’s Generalizations of Steffensen’s Inequality. Jordan Journal of Mathematics and Statistics, 8(2), 179–194. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1066

Issue

Vol. 8 No. 2 (2015)

Section

Articles

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