Some generalizations of dynamic Opial-type inequalities in conformable calculus
In this paper, we consider generalized conformable integrals to establish new Opial-type inequalities. The obtained results mainly depend on Hölder’s inequality, some algebraic inequalities, and a simple consequence of Keller’s chain rule on time scales. Our obtained results unify and extend some continuous and discrete inequalities. In the special case $\alpha = 1$ , our results cover some well-known inequalities of Opial-type on time scales.
Authors
- Gehan A. Ismail (ORCID: https://orcid.org/0000-0002-3996-0047)
- Aiman Mukheimer (ORCID: https://orcid.org/0000-0001-8798-3297)
- Thabet Abdeljawad (ORCID: https://orcid.org/0000-0002-8889-3768)
- M. M. A. El-Sheikh (ORCID: https://orcid.org/0000-0002-4233-3415)
- Fatma M. Khamis
Institutions
- Ain Shams University (EG)
- Prince Sultan University (SA)
- Gulf University for Science & Technology (KW)
- China Medical University (TW)
- Sefako Makgatho Health Sciences University (ZA)
- Menoufia University (EG)
Publication Details
- Journal
- Journal of Inequalities and Applications
- Published
- 2024-11-29
- DOI
- https://doi.org/10.1186/s13660-024-03224-z
- Primary Topic
- Functional Equations Stability Results
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Prince Sultan University