Some Novel Fractional Ostrowski-Type Inequalities for $(\textsf{s, r})$-Convex Functions

Akhtar Abbas; Shubana Bibi; Shahid Mubeen

doi:10.33434/cams.2009835

Some Novel Fractional Ostrowski-Type Inequalities for $(\textsf{s, r})$-Convex Functions

Abstract

In this paper, we establish new Ostrowski-type inequalities by leveraging the properties of $(\textsf{s, r})$-convex functions and the Atangana-Baleanu fractional integral operator. Our results are derived using well-established mathematical tools such as the Hölder inequality, the Hölder-İşçan inequality, the power-mean inequality, the improved power-mean inequality and Young’s inequality. The inequalities obtained extend and generalize existing results in the literature, providing tighter bounds and broader applicability in fractional analysis and integral inequalities. In addition, to support the theoretical findings, we provide illustrative examples, graphical interpretations, and practical applications. These components demonstrate the potential of our results in fields such as numerical analysis and approximation theory.

Keywords

Ostrowski inequality, Young’s inequality, Ostrowski inequality, Hölder inequality, Young’s inequality, Atangana-Baleanu fractional integral operator, $(\textsf{s,r})$-convex functions

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Akhtar Abbas ^*
0009-0003-6835-6046
Pakistan

Shubana Bibi
0009-0003-8612-8784
Pakistan

Shahid Mubeen
0000-0002-7815-8516
Pakistan

Early Pub Date

October 5, 2026

Publication Date

October 5, 2026

Submission Date

August 3, 2026

Acceptance Date

September 28, 2026

Published in Issue

Year 2026 Volume: 9 Number: 3

DOI

https://doi.org/10.33434/cams.2009835

IZ

https://izlik.org/JA67JC86LS

APA

Abbas, A., Bibi, S., & Mubeen, S. (2026). Some Novel Fractional Ostrowski-Type Inequalities for $(\textsf{s, r})$-Convex Functions. Communications in Advanced Mathematical Sciences, 9(3), 131-156. https://doi.org/10.33434/cams.2009835

AMA

1.Abbas A, Bibi S, Mubeen S. Some Novel Fractional Ostrowski-Type Inequalities for $(\textsf{s, r})$-Convex Functions. Communications in Advanced Mathematical Sciences. 2026;9(3):131-156. doi:10.33434/cams.2009835

Chicago

Abbas, Akhtar, Shubana Bibi, and Shahid Mubeen. 2026. “Some Novel Fractional Ostrowski-Type Inequalities for $(\textsf{s, R})$-Convex Functions”. Communications in Advanced Mathematical Sciences 9 (3): 131-56. https://doi.org/10.33434/cams.2009835.

EndNote

Abbas A, Bibi S, Mubeen S (October 1, 2026) Some Novel Fractional Ostrowski-Type Inequalities for $(\textsf{s, r})$-Convex Functions. Communications in Advanced Mathematical Sciences 9 3 131–156.

IEEE

[1]A. Abbas, S. Bibi, and S. Mubeen, “Some Novel Fractional Ostrowski-Type Inequalities for $(\textsf{s, r})$-Convex Functions”, Communications in Advanced Mathematical Sciences, vol. 9, no. 3, pp. 131–156, Oct. 2026, doi: 10.33434/cams.2009835.

ISNAD

Abbas, Akhtar - Bibi, Shubana - Mubeen, Shahid. “Some Novel Fractional Ostrowski-Type Inequalities for $(\textsf{s, R})$-Convex Functions”. Communications in Advanced Mathematical Sciences 9/3 (October 1, 2026): 131-156. https://doi.org/10.33434/cams.2009835.

JAMA

1.Abbas A, Bibi S, Mubeen S. Some Novel Fractional Ostrowski-Type Inequalities for $(\textsf{s, r})$-Convex Functions. Communications in Advanced Mathematical Sciences. 2026;9:131–156.

MLA

Abbas, Akhtar, et al. “Some Novel Fractional Ostrowski-Type Inequalities for $(\textsf{s, R})$-Convex Functions”. Communications in Advanced Mathematical Sciences, vol. 9, no. 3, Oct. 2026, pp. 131-56, doi:10.33434/cams.2009835.

Vancouver

1.Akhtar Abbas, Shubana Bibi, Shahid Mubeen. Some Novel Fractional Ostrowski-Type Inequalities for $(\textsf{s, r})$-Convex Functions. Communications in Advanced Mathematical Sciences. 2026 Oct. 1;9(3):131-56. doi:10.33434/cams.2009835

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Some Novel Fractional Ostrowski-Type Inequalities for $(\textsf{s, r})$-Convex Functions

Abstract

Keywords

References

Details

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Subjects

Journal Section

Authors

Early Pub Date

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Published in Issue

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IZ

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