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Research Article | Open Access

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

Hongling Zhou1( ), Muhammad Shoaib Saleem2, Waqas Nazeer3( ), Ahsan Fareed Shah2
School of Mathematics and Statistics, Huanghuai University, Zhumadian, Henan 463000, China
Department of Mathematics, University of Okara, Okara, Pakistan
Department of Mathematics, Government College University, Lahore 54000, Pakistan
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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.

Keywords

pre-invex functioninterval-valued functioninterval-valued fractional integral operatorHermite-Hadamard type inequalityHe's inequality
CLC number: 26E70, 34N05, 35A23

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AIMS Mathematics
Volume 7 Issue 2,
February 2022
Pages 2602-2617
DOI: 10.3934/math.2022146

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Zhou H, Saleem MS, Nazeer W, et al. Hermite-Hadamard type inequalities for interval-valued exponential type pre-invex functions via Riemann-Liouville fractional integrals. AIMS Mathematics, 2022, 7(2): 2602-2617. https://doi.org/10.3934/math.2022146

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Received: 16 July 2021
Accepted: 22 September 2021
Published: 15 February 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)