New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals

Hüseyin Budak; Büşra Betül Ergün

doi:10.33187/jmsm.1674511

EN

New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals

Abstract

In this study, a new Newton-type inequality form for multiplicative convex functions is derived using multiplicative conformable fractional integrals. The developed new form presents an inequality that has not been encountered before in literature. To obtain the main results, an essential identity is first introduced, and this identity is combined with multiplicative conformable fractional integrals to create a new Newton-type inequality. This work not only provides a significant contribution to previous research on multiplicative convex functions but also offers a new perspective on the subject. Future research may aim to explore the application of this form to different fractional integral operators or function types.

Keywords

Conformable fractional integrals, Convex functions, Multiplicative calculus, Newton inequality

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Hüseyin Budak ^*
0000-0001-8843-955X
Türkiye

Büşra Betül Ergün
0009-0009-4038-4487
Türkiye

Early Pub Date

June 28, 2025

Publication Date

June 28, 2025

Submission Date

April 11, 2025

Acceptance Date

June 24, 2025

Published in Issue

Year 2025 Volume: 8 Number: 2

DOI

https://doi.org/10.33187/jmsm.1674511

IZ

https://izlik.org/JA54UP48GB

APA

Budak, H., & Ergün, B. B. (2025). New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals. Journal of Mathematical Sciences and Modelling, 8(2), 93-111. https://doi.org/10.33187/jmsm.1674511

AMA

1.Budak H, Ergün BB. New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals. Journal of Mathematical Sciences and Modelling. 2025;8(2):93-111. doi:10.33187/jmsm.1674511

Chicago

Budak, Hüseyin, and Büşra Betül Ergün. 2025. “New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals”. Journal of Mathematical Sciences and Modelling 8 (2): 93-111. https://doi.org/10.33187/jmsm.1674511.

EndNote

Budak H, Ergün BB (June 1, 2025) New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals. Journal of Mathematical Sciences and Modelling 8 2 93–111.

IEEE

[1]H. Budak and B. B. Ergün, “New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals”, Journal of Mathematical Sciences and Modelling, vol. 8, no. 2, pp. 93–111, June 2025, doi: 10.33187/jmsm.1674511.

ISNAD

Budak, Hüseyin - Ergün, Büşra Betül. “New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals”. Journal of Mathematical Sciences and Modelling 8/2 (June 1, 2025): 93-111. https://doi.org/10.33187/jmsm.1674511.

JAMA

1.Budak H, Ergün BB. New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals. Journal of Mathematical Sciences and Modelling. 2025;8:93–111.

MLA

Budak, Hüseyin, and Büşra Betül Ergün. “New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals”. Journal of Mathematical Sciences and Modelling, vol. 8, no. 2, June 2025, pp. 93-111, doi:10.33187/jmsm.1674511.

Vancouver

1.Hüseyin Budak, Büşra Betül Ergün. New Form of Newton-Type Inequalities for Multiplicative Conformable Fractional Integrals. Journal of Mathematical Sciences and Modelling. 2025 Jun. 1;8(2):93-111. doi:10.33187/jmsm.1674511