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arXiv · 2209.03167

Dynamic Hardy type inequalities via alpha-conformable derivatives on time scales

Ahmed A. El-Deeb·Samer D. Makharesh·Delfim F. M. Torres
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Abstract

We prove new Hardy-type $\alpha$-conformable dynamic inequalities on time scales. Our results are proved by using Keller's chain rule, the integration by parts formula, and the dynamic H\"{o}lder inequality on time scales. When $\alpha=1$, then we obtain some well-known time-scale inequalities due to Hardy. As special cases, we obtain new continuous, discrete, and quantum inequalities.

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Ahmed A. El-Deeb, Samer D. Makharesh, Delfim F. M. Torres. 2022-09-02. Dynamic Hardy type inequalities via alpha-conformable derivatives on time scales. https://arxiv.org/abs/2209.03167

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