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

Abstract

<abstract><p>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.</p></abstract>