@article{Aly2024, 
author = {Elkhateeb S. Aly and Ali M. Mahnashi and Abdullah A. Zaagan and I. Ibedou and A. I. Saied and Wael W. Mohammed},
title = {N-dimension for dynamic generalized inequalities of Hölder and Minkowski type on diamond alpha time scales},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {9329-9347},
keywords = {Hölder's inequality, inequalities on time scales, Minkowski's inequality, diamond alpha calculus},
url = {https://www.sciopen.com/article/10.3934/math.2024454},
doi = {10.3934/math.2024454},
abstract = {Expanding on our research, this paper introduced novel generalizations of H ölder's and Minkowski's dynamic inequalities on diamond alpha time scales. Specifically, as particular instances of our findings, we replicated the discrete inequalities established when        T    =    N  . Furthermore, our investigation extended to the continuous case with        T    =    R  , revealing additional inequalities that are both new and valuable for readers seeking a comprehensive understanding of the topic.}
}