Dynamic Hardy type inequalities via alpha-conformable derivatives on time scales
Abstract
We prove new Hardy-type α-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\"older inequality on time scales. When α=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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