Some Novel Fractional Integral Inequalities for m-Convex and (α,m)-Convex Functions

Sinan Aslan; Ahmet Ocak Akdemir

Some Novel Fractional Integral Inequalities for m-Convex and (α,m)-Convex Functions

Abstract

In this study, several novel integral inequalities are established for various classes of convex functions by employing the Caputo–Fabrizio fractional integral operator. Specifically, new inequalities are derived for m-convex and (α,m)-convex functions. The presented results generalize and extend existing inequalities in the literature, reducing to known outcomes for certain specific parameter values. The derivations rely on the fundamental properties of the Caputo–Fabrizio fractional operator, formal definitions of different types of convexity, and standard analytical techniques.

Keywords

References

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Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

Sinan Aslan ^*
0000-0001-5970-1926
Türkiye

Ahmet Ocak Akdemir
0000-0003-2466-0508
Türkiye

Publication Date

December 29, 2025

Submission Date

June 17, 2025

Acceptance Date

December 17, 2025

Published in Issue

Year 2025 Volume: 11 Number: 1-2

IZ

https://izlik.org/JA83LR44MG

Cite

RIS / Bibtex

APA

Aslan, S., & Akdemir, A. O. (2025). Some Novel Fractional Integral Inequalities for m-Convex and (α,m)-Convex Functions. Eastern Anatolian Journal of Science, 11(1-2), 1-8. https://izlik.org/JA83LR44MG

AMA

1.Aslan S, Akdemir AO. Some Novel Fractional Integral Inequalities for m-Convex and (α,m)-Convex Functions. Eastern Anatolian Journal of Science. 2025;11(1-2):1-8. https://izlik.org/JA83LR44MG

Chicago

Aslan, Sinan, and Ahmet Ocak Akdemir. 2025. “Some Novel Fractional Integral Inequalities for M-Convex and (α,m)-Convex Functions”. Eastern Anatolian Journal of Science 11 (1-2): 1-8. https://izlik.org/JA83LR44MG.

EndNote

Aslan S, Akdemir AO (December 1, 2025) Some Novel Fractional Integral Inequalities for m-Convex and (α,m)-Convex Functions. Eastern Anatolian Journal of Science 11 1-2 1–8.

IEEE

[1]S. Aslan and A. O. Akdemir, “Some Novel Fractional Integral Inequalities for m-Convex and (α,m)-Convex Functions”, Eastern Anatolian Journal of Science, vol. 11, no. 1-2, pp. 1–8, Dec. 2025, [Online]. Available: https://izlik.org/JA83LR44MG

ISNAD

Aslan, Sinan - Akdemir, Ahmet Ocak. “Some Novel Fractional Integral Inequalities for M-Convex and (α,m)-Convex Functions”. Eastern Anatolian Journal of Science 11/1-2 (December 1, 2025): 1-8. https://izlik.org/JA83LR44MG.

JAMA

1.Aslan S, Akdemir AO. Some Novel Fractional Integral Inequalities for m-Convex and (α,m)-Convex Functions. Eastern Anatolian Journal of Science. 2025;11:1–8.

MLA

Aslan, Sinan, and Ahmet Ocak Akdemir. “Some Novel Fractional Integral Inequalities for M-Convex and (α,m)-Convex Functions”. Eastern Anatolian Journal of Science, vol. 11, no. 1-2, Dec. 2025, pp. 1-8, https://izlik.org/JA83LR44MG.

Vancouver

1.Sinan Aslan, Ahmet Ocak Akdemir. Some Novel Fractional Integral Inequalities for m-Convex and (α,m)-Convex Functions. Eastern Anatolian Journal of Science [Internet]. 2025 Dec. 1;11(1-2):1-8. Available from: https://izlik.org/JA83LR44MG