Some new dynamic inequalities with several functions of Hardy type on time scales

The aim of this article is to prove some new dynamic inequalities of Hardy type on time scales with several functions. Our results contain some results proved in the literature, which are deduced as limited cases, and also improve some obtained results by using weak conditions. In order to do so, we...

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Bibliographic Details
Published in:Journal of inequalities and applications 2021-01, Vol.2021 (1), p.1-15, Article 3
Main Authors: Hamiaz, Adnane, Abuelela, Waleed, Saker, Samir H., Baleanu, Dumitru
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Dynamic inequalities
Hardy-type inequality
Inequalities
Mathematics
Mathematics and Statistics
Time
Time scales
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Summary:The aim of this article is to prove some new dynamic inequalities of Hardy type on time scales with several functions. Our results contain some results proved in the literature, which are deduced as limited cases, and also improve some obtained results by using weak conditions. In order to do so, we utilize Hölder’s inequality, the chain rule, and the formula of integration by parts on time scales.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-020-02530-6