N-dimension for dynamic generalized inequalities of Hölder and Minkowski type on diamond alpha time scales

Autor: Elkhateeb S. Aly, Ali M. Mahnashi, Abdullah A. Zaagan, I. Ibedou, A. I. Saied, Wael W. Mohammed
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 4, Pp 9329-9347 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024454?viewType=HTML
Popis: 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 $ \mathbb{T = N} $. Furthermore, our investigation extended to the continuous case with $ \mathbb{ T = R} $, revealing additional inequalities that are both new and valuable for readers seeking a comprehensive understanding of the topic.
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