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

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.

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Publication Details

Journal
Communications in Advanced Mathematical Sciences
Published
2026-10-05
DOI
https://doi.org/10.33434/cams.2009835
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

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

Shahid Mubeen, AHSAN ABBAS, Shubana Bibi
Communications in Advanced Mathematical Sciences
Mathematical Inequalities and Applications
article

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

Shahid Mubeen, AHSAN ABBAS, Shubana Bibi
article en

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.

Communications in Advanced Mathematical SciencesVol. 9(3)
Baba Guru Nanak University (PK)
Openalex Percentile: Top 6%
Mathematical Inequalities and Applications
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