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

Ömer Ustaoğlu; Hasan Kara; Hüseyin Budak

doi:10.33434/cams.1665337

EN

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

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

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Ömer Ustaoğlu
0009-0006-1756-6256
Türkiye

Hasan Kara ^*
0000-0002-2075-944X
Türkiye

Hüseyin Budak
0000-0001-8843-955X
Türkiye

Early Pub Date

July 18, 2025

Publication Date

September 23, 2025

Submission Date

March 25, 2025

Acceptance Date

July 6, 2025

Published in Issue

Year 2025 Volume: 8 Number: 3

DOI

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

IZ

https://izlik.org/JA75HD75HY

APA

Ustaoğlu, Ö., Kara, H., & Budak, H. (2025). Hermite-Hadamard Inequalities Involving Fractional Conformable Integral Operators for the Product of Two Interval-Valued LR-Convex Functions. Communications in Advanced Mathematical Sciences, 8(3), 136-150. https://doi.org/10.33434/cams.1665337

AMA

1.Ustaoğlu Ö, Kara H, Budak H. Hermite-Hadamard Inequalities Involving Fractional Conformable Integral Operators for the Product of Two Interval-Valued LR-Convex Functions. Communications in Advanced Mathematical Sciences. 2025;8(3):136-150. doi:10.33434/cams.1665337

Chicago

Ustaoğlu, Ömer, Hasan Kara, and Hüseyin Budak. 2025. “Hermite-Hadamard Inequalities Involving Fractional Conformable Integral Operators for the Product of Two Interval-Valued LR-Convex Functions”. Communications in Advanced Mathematical Sciences 8 (3): 136-50. https://doi.org/10.33434/cams.1665337.

EndNote

Ustaoğlu Ö, Kara H, Budak H (September 1, 2025) Hermite-Hadamard Inequalities Involving Fractional Conformable Integral Operators for the Product of Two Interval-Valued LR-Convex Functions. Communications in Advanced Mathematical Sciences 8 3 136–150.

IEEE

[1]Ö. Ustaoğlu, H. Kara, and H. Budak, “Hermite-Hadamard Inequalities Involving Fractional Conformable Integral Operators for the Product of Two Interval-Valued LR-Convex Functions”, Communications in Advanced Mathematical Sciences, vol. 8, no. 3, pp. 136–150, Sept. 2025, doi: 10.33434/cams.1665337.

ISNAD

Ustaoğlu, Ömer - Kara, Hasan - Budak, Hüseyin. “Hermite-Hadamard Inequalities Involving Fractional Conformable Integral Operators for the Product of Two Interval-Valued LR-Convex Functions”. Communications in Advanced Mathematical Sciences 8/3 (September 1, 2025): 136-150. https://doi.org/10.33434/cams.1665337.

JAMA

1.Ustaoğlu Ö, Kara H, Budak H. Hermite-Hadamard Inequalities Involving Fractional Conformable Integral Operators for the Product of Two Interval-Valued LR-Convex Functions. Communications in Advanced Mathematical Sciences. 2025;8:136–150.

MLA

Ustaoğlu, Ömer, et al. “Hermite-Hadamard Inequalities Involving Fractional Conformable Integral Operators for the Product of Two Interval-Valued LR-Convex Functions”. Communications in Advanced Mathematical Sciences, vol. 8, no. 3, Sept. 2025, pp. 136-50, doi:10.33434/cams.1665337.

Vancouver

1.Ömer Ustaoğlu, Hasan Kara, Hüseyin Budak. Hermite-Hadamard Inequalities Involving Fractional Conformable Integral Operators for the Product of Two Interval-Valued LR-Convex Functions. Communications in Advanced Mathematical Sciences. 2025 Sep. 1;8(3):136-50. doi:10.33434/cams.1665337

The published articles in CAMS are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License..

Abstract

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

Abstract

Keywords

References

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Early Pub Date

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Published in Issue

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