Hermite-Hadamard inequality involving Caputo-Fabrizio fractional integrals and related inequalities via $ s $-convex functions in the second sense

Anjum Mustafa Khan Abbasi; Matloob Anwar; Anjum Mustafa Khan Abbasi; Matloob Anwar

doi:10.3934/math.20221020

AIMS Mathematics

2022, Volume 7, Issue 10: 18565-18575. doi: 10.3934/math.20221020

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Hermite-Hadamard inequality involving Caputo-Fabrizio fractional integrals and related inequalities via $ s $-convex functions in the second sense

School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan

Received: 08 May 2022 Revised: 09 July 2022 Accepted: 15 July 2022 Published: 19 August 2022
MSC : 05C38, 15A15, 26A33, 26D10, 26D15

In this paper, firstly, Hermite-Hadamard inequality via s-convex functions in the second sense using Caputo-Fabrizio fractional integral operator is established. We also compare our results with the existing ones. It is also shown that the obtained results are a generalization of the existing results. Finally, we give their applications to special means.
- Hermite-Hadamard inequality,
- s-convex functions,
- Caputo-Fabrizio fractional integral
Citation: Anjum Mustafa Khan Abbasi, Matloob Anwar. Hermite-Hadamard inequality involving Caputo-Fabrizio fractional integrals and related inequalities via $ s $-convex functions in the second sense[J]. AIMS Mathematics, 2022, 7(10): 18565-18575. doi: 10.3934/math.20221020

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Abstract

In this paper, firstly, Hermite-Hadamard inequality via s-convex functions in the second sense using Caputo-Fabrizio fractional integral operator is established. We also compare our results with the existing ones. It is also shown that the obtained results are a generalization of the existing results. Finally, we give their applications to special means.

References

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