# Extensions of Holder-type inequalities on time scales and their applications

Volume 10, Issue 3, pp 937--953 Publication Date: March 20, 2017       Article History
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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.

### Keywords

• Hölder-type inequality
• diamond-$\alpha$ integral
• time scales
• Minkowski’s inequality
• Beckenbach-Dresher’s inequality.

•  26D15
•  39A13

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