Newton-type Inequalities for Fractional Integrals by Various Function Classes

Fatih Hezenci; Hüseyin Budak; Tingsong Du

doi:10.32323/ujma.1660642

EN

Newton-type Inequalities for Fractional Integrals by Various Function Classes

Abstract

The authors of the paper examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely, we establish some Newton-type inequalities for bounded functions by fractional integrals. In addition, we construct some fractional Newton-type inequalities for Lipschitzian functions. Furthermore, we offer some Newton-type inequalities by fractional integrals of bounded variation. Finally, we provide our results by using special cases of theorems and obtained examples.

Keywords

Bounded functions, Convex functions, Lipschitzian functions, Newton-type inequalities

References

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Details

Primary Language

English

Subjects

Applied Statistics

Journal Section

Research Article

Authors

Fatih Hezenci ^*
0000-0003-1008-5856
Türkiye

Hüseyin Budak
0000-0001-8843-955X
Türkiye

Tingsong Du
0000-0002-6072-1788
China

Early Pub Date

June 15, 2025

Publication Date

June 27, 2025

Submission Date

March 18, 2025

Acceptance Date

June 14, 2025

Published in Issue

Year 2025 Volume: 8 Number: 2

DOI

https://doi.org/10.32323/ujma.1660642

IZ

https://izlik.org/JA79FD37HS

APA

Hezenci, F., Budak, H., & Du, T. (2025). Newton-type Inequalities for Fractional Integrals by Various Function Classes. Universal Journal of Mathematics and Applications, 8(2), 94-107. https://doi.org/10.32323/ujma.1660642

AMA

1.Hezenci F, Budak H, Du T. Newton-type Inequalities for Fractional Integrals by Various Function Classes. Univ. J. Math. Appl. 2025;8(2):94-107. doi:10.32323/ujma.1660642

Chicago

Hezenci, Fatih, Hüseyin Budak, and Tingsong Du. 2025. “Newton-Type Inequalities for Fractional Integrals by Various Function Classes”. Universal Journal of Mathematics and Applications 8 (2): 94-107. https://doi.org/10.32323/ujma.1660642.

EndNote

Hezenci F, Budak H, Du T (June 1, 2025) Newton-type Inequalities for Fractional Integrals by Various Function Classes. Universal Journal of Mathematics and Applications 8 2 94–107.

IEEE

[1]F. Hezenci, H. Budak, and T. Du, “Newton-type Inequalities for Fractional Integrals by Various Function Classes”, Univ. J. Math. Appl., vol. 8, no. 2, pp. 94–107, June 2025, doi: 10.32323/ujma.1660642.

ISNAD

Hezenci, Fatih - Budak, Hüseyin - Du, Tingsong. “Newton-Type Inequalities for Fractional Integrals by Various Function Classes”. Universal Journal of Mathematics and Applications 8/2 (June 1, 2025): 94-107. https://doi.org/10.32323/ujma.1660642.

JAMA

1.Hezenci F, Budak H, Du T. Newton-type Inequalities for Fractional Integrals by Various Function Classes. Univ. J. Math. Appl. 2025;8:94–107.

MLA

Hezenci, Fatih, et al. “Newton-Type Inequalities for Fractional Integrals by Various Function Classes”. Universal Journal of Mathematics and Applications, vol. 8, no. 2, June 2025, pp. 94-107, doi:10.32323/ujma.1660642.

Vancouver

1.Fatih Hezenci, Hüseyin Budak, Tingsong Du. Newton-type Inequalities for Fractional Integrals by Various Function Classes. Univ. J. Math. Appl. 2025 Jun. 1;8(2):94-107. doi:10.32323/ujma.1660642