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Research Article | Open Access

Generalized fractional Hermite-Hadamard-type inequalities for interval-valued s-convex functions

Guoshan Deng1, Dafang Zhao1( ), Sina Etemad2,3, Jessada Tariboon4( )
Huangshi Key Laboratory of Metaverse and Virtual Simulation, School of Mathematics and Statistics, Hubei Normal University, Huangshi, Hubei 435002, China
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
Mathematics in Applied Sciences and Engineering Research Group, Scientific Research Center, Al-Ayen University, Nasiriyah 64001, Iraq
Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand
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Abstract

Based on the generalized fractional integrals, we develop some Hermite-Hadamard-type inequalities for interval-valued s-convex functions. Further, we verify our results with graphical representation and concrete examples. Our research not only generalizes and extends the existing literature but also provides valuable insights for further research on interval-valued integral inequalities.

Keywords

fractional integralinterval-valued functionHermite-Hadamard inequalitiess-convex function
CLC number: 26E70, 34N05, 35A23

References

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AIMS Mathematics
Volume 10 Issue 6,
June 2025
Pages 14102-14121
DOI: 10.3934/math.2025635

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Cite this article:
Deng G, Zhao D, Etemad S, et al. Generalized fractional Hermite-Hadamard-type inequalities for interval-valued s-convex functions. AIMS Mathematics, 2025, 10(6): 14102-14121. https://doi.org/10.3934/math.2025635

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Received: 28 February 2025
Revised: 06 June 2025
Accepted: 10 June 2025
Published: 19 June 2025
©2025 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)