Hermite-Hadamard type inequalities for interval-valued exponential type pre-invex functions via Riemann-Liouville fractional integrals

Hongling Zhou; Muhammad Shoaib Saleem; Waqas Nazeer; Ahsan Fareed Shah; Hongling Zhou; Muhammad Shoaib Saleem; Waqas Nazeer; Ahsan Fareed Shah

doi:10.3934/math.2022146

AIMS Mathematics

2022, Volume 7, Issue 2: 2602-2617. doi: 10.3934/math.2022146

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Research article

Hermite-Hadamard type inequalities for interval-valued exponential type pre-invex functions via Riemann-Liouville fractional integrals

1.
School of Mathematics and Statistics, Huanghuai University, Zhumadian, Henan 463000, China
2.
Department of Mathematics, University of Okara, Okara, Pakistan
3.
Department of Mathematics, Government College University, Lahore 54000, Pakistan

Received: 16 July 2021 Accepted: 22 September 2021 Published: 17 November 2021
MSC : 26E70, 34N05, 35A23

In the present research, we develop Hermite-Hadamard type inequalities for interval-valued exponential type pre-invex functions in Riemann-Liouville interval-valued fractional operator settings. Moreover, we develop He's inequality for interval-valued exponential type pre-invex functions.
- pre-invex function,
- interval-valued function,
- interval-valued fractional integral operator,
- Hermite-Hadamard type inequality,
- He's inequality
Citation: Hongling Zhou, Muhammad Shoaib Saleem, Waqas Nazeer, Ahsan Fareed Shah. Hermite-Hadamard type inequalities for interval-valued exponential type pre-invex functions via Riemann-Liouville fractional integrals[J]. AIMS Mathematics, 2022, 7(2): 2602-2617. doi: 10.3934/math.2022146

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Abstract

In the present research, we develop Hermite-Hadamard type inequalities for interval-valued exponential type pre-invex functions in Riemann-Liouville interval-valued fractional operator settings. Moreover, we develop He's inequality for interval-valued exponential type pre-invex functions.

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