Some reverse Hölder inequalities with Specht's ratio on time scales
Volume 11, Issue 4, pp 444--455
http://dx.doi.org/10.22436/jnsa.011.04.01
Publication Date: March 10, 2018
Submission Date: August 18, 2017
Revision Date: November 24, 2017
Accteptance Date: January 18, 2018
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Authors
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.
Wing-Sum Cheung
- Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong.
Abstract
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.
Share and Cite
ISRP Style
A. A. El-Deeb, H. A. Elsennary, Wing-Sum Cheung, Some reverse Hölder inequalities with Specht's ratio on time scales, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 4, 444--455
AMA Style
El-Deeb A. A., Elsennary H. A., Cheung Wing-Sum, Some reverse Hölder inequalities with Specht's ratio on time scales. J. Nonlinear Sci. Appl. (2018); 11(4):444--455
Chicago/Turabian Style
El-Deeb, A. A., Elsennary, H. A., Cheung, Wing-Sum. "Some reverse Hölder inequalities with Specht's ratio on time scales." Journal of Nonlinear Sciences and Applications, 11, no. 4 (2018): 444--455
Keywords
- Dynamic inequalities of Hölder type
- analysis techniques
- time scales
- Specht's ratio
MSC
- 26D10
- 26D15
- 26D20
- 34A12
- 34A40
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