Novel Ostrowski–Type Inequalities for Generalized Fractional Integrals and Diverse Function Classes
In this work, novel Ostrowski-type inequalities for dissimilar function classes and generalized fractional integrals (FITs) are presented. We provide a useful identity for differentiable functions under FITs, which results in special expressions for functions whose derivatives have convex absolute values. A new condition for bounded variation functions is examined, as well as expansions to bounded and Lipschitzian derivatives. Our comprehension is improved by comparison with current findings, and recommendations for future study areas are given.
Authors
- Mohamed A. Barakat (ORCID: https://orcid.org/0000-0003-4036-6368)
- Abd‐Allah Hyder (ORCID: https://orcid.org/0000-0001-9273-9512)
- Hüseyin Budak (ORCID: https://orcid.org/0000-0001-8843-955X)
- Areej A. Almoneef (ORCID: https://orcid.org/0000-0001-7041-3730)
Institutions
- Princess Nourah bint Abdulrahman University (SA)
- Al-Azhar University (EG)
- Düzce Üniversitesi (TR)
- University of Tabuk (SA)
- King Khalid University (SA)
Publication Details
- Journal
- Fractal and Fractional
- Published
- 2024-09-13
- DOI
- https://doi.org/10.3390/fractalfract8090534
- Citations
- 3
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 2.93
Funders
- Princess Nourah Bint Abdulrahman University
- King Khalid University