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


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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