Novel Extensions of Ostrowski–Grüss Type Inequalities Using Katugampola Fractional Integrals

Canan Ödemiş; Abdullah Akkurt

doi:10.33401/fujma.1810059

Novel Extensions of Ostrowski–Grüss Type Inequalities Using Katugampola Fractional Integrals

Abstract

This study explores Ostrowski and Ostrowski–Grüss type inequalities within the framework of Katugampola fractional integrals, aiming to establish novel and more generalized formulations. Motivated by the increasing importance of fractional calculus in modeling complex phenomena across applied mathematics, physics, and engineering, we derive new inequalities that extend and refine existing results. By selecting appropriate parameter values, we demonstrate that our findings reduce to classical inequalities previously reported in the literature.

Keywords

Supporting Institution

This research received no external funding.

Ethical Statement

This article does not contain any studies with human or animal subjects. It is declared that during the preparation process of this study, scientific and ethical principles were followed and all the studies benefited from are stated in the bibliography.

Thanks

The author would like to express their sincere thanks to the editor and the anonymous reviewers for their helpful comments and suggestions.

References

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Details

Primary Language

English

Subjects

Mathematical Methods and Special Functions, Applied Mathematics (Other)

Journal Section

Research Article

Authors

Canan Ödemiş
0009-0005-3709-3612
Türkiye

Abdullah Akkurt ^*
0000-0001-5644-1276
Türkiye

Publication Date

September 30, 2026

Submission Date

October 24, 2025

Acceptance Date

July 10, 2026

Published in Issue

Year 2026 Volume: 9 Number: 3

DOI

https://doi.org/10.33401/fujma.1810059

IZ

https://izlik.org/JA49RT96EA

Cite

RIS / Bibtex

APA

Ödemiş, C., & Akkurt, A. (2026). Novel Extensions of Ostrowski–Grüss Type Inequalities Using Katugampola Fractional Integrals. Fundamental Journal of Mathematics and Applications, 9(3), 141-151. https://doi.org/10.33401/fujma.1810059

AMA

1.Ödemiş C, Akkurt A. Novel Extensions of Ostrowski–Grüss Type Inequalities Using Katugampola Fractional Integrals. Fundam. J. Math. Appl. 2026;9(3):141-151. doi:10.33401/fujma.1810059

Chicago

Ödemiş, Canan, and Abdullah Akkurt. 2026. “Novel Extensions of Ostrowski–Grüss Type Inequalities Using Katugampola Fractional Integrals”. Fundamental Journal of Mathematics and Applications 9 (3): 141-51. https://doi.org/10.33401/fujma.1810059.

EndNote

Ödemiş C, Akkurt A (September 1, 2026) Novel Extensions of Ostrowski–Grüss Type Inequalities Using Katugampola Fractional Integrals. Fundamental Journal of Mathematics and Applications 9 3 141–151.

IEEE

[1]C. Ödemiş and A. Akkurt, “Novel Extensions of Ostrowski–Grüss Type Inequalities Using Katugampola Fractional Integrals”, Fundam. J. Math. Appl., vol. 9, no. 3, pp. 141–151, Sept. 2026, doi: 10.33401/fujma.1810059.

ISNAD

Ödemiş, Canan - Akkurt, Abdullah. “Novel Extensions of Ostrowski–Grüss Type Inequalities Using Katugampola Fractional Integrals”. Fundamental Journal of Mathematics and Applications 9/3 (September 1, 2026): 141-151. https://doi.org/10.33401/fujma.1810059.

JAMA

1.Ödemiş C, Akkurt A. Novel Extensions of Ostrowski–Grüss Type Inequalities Using Katugampola Fractional Integrals. Fundam. J. Math. Appl. 2026;9:141–151.

MLA

Ödemiş, Canan, and Abdullah Akkurt. “Novel Extensions of Ostrowski–Grüss Type Inequalities Using Katugampola Fractional Integrals”. Fundamental Journal of Mathematics and Applications, vol. 9, no. 3, Sept. 2026, pp. 141-5, doi:10.33401/fujma.1810059.

Vancouver

1.Canan Ödemiş, Abdullah Akkurt. Novel Extensions of Ostrowski–Grüss Type Inequalities Using Katugampola Fractional Integrals. Fundam. J. Math. Appl. 2026 Sep. 1;9(3):141-5. doi:10.33401/fujma.1810059