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On Some New Weighted Steffensen-Type Inequalities on Time Scales

Author

Listed:
  • Ahmed A. El-Deeb

    (Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, Egypt)

  • Omar Bazighifan

    (Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Rome, Italy)

  • Jan Awrejcewicz

    (Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski St., 90-924 Lodz, Poland)

Abstract

The motivation of this paper is to explore some new inequalities of Steffensen-type which were demonstrated by Pečarić and Kalamir in 2014. The main idea is to investigate a class of certain inequalities by employing diamond- α dynamic integral on time scales. In addition, to obtain some new inequalities as special cases, we also extend our results to continuous and discrete calculations.

Suggested Citation

  • Ahmed A. El-Deeb & Omar Bazighifan & Jan Awrejcewicz, 2021. "On Some New Weighted Steffensen-Type Inequalities on Time Scales," Mathematics, MDPI, vol. 9(21), pages 1-17, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2670-:d:661637
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