Extensions of Holder-type inequalities on time scales and their applications
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Authors
Jing-Feng Tian
- College of Science and Technology, North China Electric Power University, Baoding, Hebei Province, 071051, P. R. China.
Ming-Hu Ha
- School of Science, Hebei University of Engineering, Handan, Hebei Province, 056038, P. R. China.
Abstract
In this paper, we present some new extensions of Hölder-type inequalities on time scales via diamond-\(\alpha\) integral. Moreover,
the obtained results are used to generalize Minkowski’s inequality and Beckenbach-Dresher’s inequality on time scales.
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ISRP Style
Jing-Feng Tian, Ming-Hu Ha, Extensions of Holder-type inequalities on time scales and their applications, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 3, 937--953
AMA Style
Tian Jing-Feng, Ha Ming-Hu, Extensions of Holder-type inequalities on time scales and their applications. J. Nonlinear Sci. Appl. (2017); 10(3):937--953
Chicago/Turabian Style
Tian, Jing-Feng, Ha, Ming-Hu. "Extensions of Holder-type inequalities on time scales and their applications." Journal of Nonlinear Sciences and Applications, 10, no. 3 (2017): 937--953
Keywords
- Hölder-type inequality
- diamond-\(\alpha\) integral
- time scales
- Minkowski’s inequality
- Beckenbach-Dresher’s inequality.
MSC
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