Some reverse Hölder inequalities with Specht's ratio on time scales
A. A. El-Deeb
- Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt
H. A. Elsennary
- Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt \(\&\) Department of Mathematics, Faculty of Engineering, Sinai University, El Arish (45615), North Sinai, Egypt
- Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong
In this article, we investigate some new reverse Hölder-type inequalities
on an arbitrary time scale via the diamond-\(\alpha\) dynamic integral, which is defined as a linear combination of the delta and nabla integrals. These inequalities extend some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresponding discrete analogues.
- Dynamic inequalities of Hölder type
- analysis techniques
- time scales
- Specht's ratio
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