HERMITE–HADAMARD-TYPE INEQUALITIES FOR s-PREINVEX INTERVAL-VALUED FUNCTIONS VIA GENERALIZED FRACTIONAL INTEGRALS

Xiaoling Wang () and Dafang Zhao
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Xiaoling Wang: Huangshi Key Laboratory of Metaverse and Virtual Simulation, School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, P. R. China
Dafang Zhao: Huangshi Key Laboratory of Metaverse and Virtual Simulation, School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, P. R. China

FRACTALS (fractals), 2025, vol. 33, issue 07, 1-15

Abstract: This paper is dedicated to establishing some Hermite–Hadamard-type inequalities for s-preinvex interval-valued functions by using the generalized Riemann–Liouville fractional integrals. The results not only generalize some known findings in the literature, but also contribute to deeper research on inequalities concerning interval-valued fractional integrals. Additionally, some examples are given to illustrate the effectiveness of the results.

Keywords: s-Preinvex Function; Hermite–Hadamard Inequality; Riemann–Liouville Fractional Integrals; Interval-Valued Function (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25500689

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