Hermite-Hadamard Inequalities Involving Fractional Conformable Integral Operators for the Product of Two Interval-Valued LR-Convex Functions

Year 2025, Volume: 8 Issue: 3, 136 - 150, 23.09.2025

Ömer Ustaoğlu , Hasan Kara , Hüseyin Budak

https://doi.org/10.33434/cams.1665337

Abstract

In this research, new Hermite-Hadamard-type inequalities are obtained for the product of two LR-convex intervalvalued functions utilizing fractional conformable integrals. Specific parameter choices are employed to generalize existing results and to acquire new findings in the field. Examples are provided to illustrate the truth of the established inequalities, and graphical representations are included to support the understanding of these examples further.

Keywords

Fractional conformable integral , Hermite-Hadamard type inequalities , Interval-valued functions , LR-convexity

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