Measure Theoretic Generalization of Pečarić, Mercer and Wu-Srivastava Results

Authors

  • Julije Jakšetić Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb, Croatia
  • Josip Pečarić Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia
  • Ksenija Smoljak Kalamir Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia

DOI:

https://doi.org/10.5644/SJM.12.1.03

Keywords:

Steffensen’s inequality, Borel σ-algebra, refinements, weaker conditions

Abstract

In this paper generalizations of Steffensen’s inequality obtained by Pečari´c, Mercer and Wu-Srivastava are further extended in
a measure theoretic sense. Motivated by Wu and Srivastava’s refined and sharpened version of Mercer’s result related inequalities for positive Borel measures are obtained.

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References

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J. Peˇcari´c, K. Smoljak Kalamir and S. Varoˇsanec, Steffensen’s and related inequalities (A comprehensive survey and recent advances), Monograhps in inequalities 7, Element, Zagreb, 2014.

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Published

31.05.2024

How to Cite

Jakšetić, J., Pečarić, J., & Smoljak Kalamir, K. (2024). Measure Theoretic Generalization of Pečarić, Mercer and Wu-Srivastava Results. Sarajevo Journal of Mathematics, 12(1), 33–49. https://doi.org/10.5644/SJM.12.1.03

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