On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense

Mohammed S. El-Khatib; Atta A. K. Abu Hany; Mohammed M. Matar; Manar A. Alqudah; Thabet Abdeljawad; Mohammed S. El-Khatib; Atta A. K. Abu Hany; Mohammed M. Matar; Manar A. Alqudah; Thabet Abdeljawad

doi:10.3934/math.2023106

AIMS Mathematics

2023, Volume 8, Issue 1: 2062-2082. doi: 10.3934/math.2023106

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Research article

On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense

1.
Department of Mathematics, Al-Azhar University-Gaza, Gaza Strip, State of Palestine
2.
Department Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia
3.
Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia
4.
Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Received: 12 September 2022 Revised: 30 September 2022 Accepted: 10 October 2022 Published: 27 October 2022
MSC : 26D15, 26A33

By making use of the conformable integrals, we establish some new results on Cerone's and Bellman's generalization of Steffensen's integral inequality. In fact, we provide a variety of generalizations of Steffensen's integral inequality by using conformable calculus.
Citation: Mohammed S. El-Khatib, Atta A. K. Abu Hany, Mohammed M. Matar, Manar A. Alqudah, Thabet Abdeljawad. On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense[J]. AIMS Mathematics, 2023, 8(1): 2062-2082. doi: 10.3934/math.2023106

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Abstract

By making use of the conformable integrals, we establish some new results on Cerone's and Bellman's generalization of Steffensen's integral inequality. In fact, we provide a variety of generalizations of Steffensen's integral inequality by using conformable calculus.

References

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