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.
Authors
- Shahid Mubeen (ORCID: https://orcid.org/0000-0002-7815-8516)
- AHSAN ABBAS (ORCID: https://orcid.org/0009-0003-6835-6046)
- Shubana Bibi (ORCID: https://orcid.org/0009-0003-8612-8784)
Institutions
- Baba Guru Nanak University (PK)
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
- Field-Weighted Citation Impact
- 0.00