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

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.

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Publication Details

Journal
Communications in Advanced Mathematical Sciences
Published
2025-07-18
DOI
https://doi.org/10.33434/cams.1665337
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

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

Hasan Kara, Hüseyin Budak, Ömer Ustaoğlu
Communications in Advanced Mathematical Sciences
Mathematical Inequalities and Applications
article

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

Hasan Kara, Hüseyin Budak, Ömer Ustaoğlu
article en

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.

Communications in Advanced Mathematical SciencesVol. 8(3)
Kocaeli Üniversitesi (TR), Düzce Üniversitesi (TR)
Reduced inequalities
Openalex Percentile: Top 70%
Mathematical Inequalities and Applications
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