Dynamic Hardy type inequalities via alpha-conformable derivatives on time scales
General Mathematics
2022-09-08 v1
Abstract
We prove new Hardy-type -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 , then we obtain some well-known time-scale inequalities due to Hardy. As special cases, we obtain new continuous, discrete, and quantum inequalities.
Keywords
Cite
@article{arxiv.2209.03167,
title = {Dynamic Hardy type inequalities via alpha-conformable derivatives on time scales},
author = {Ahmed A. El-Deeb and Samer D. Makharesh and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:2209.03167},
year = {2022}
}
Comments
27 pages