math.NT — Number Theory
Non-Archimedean Hudzik-Landes-Dragomir-Kato-Saito-Tamura Inequality
In 1992, Hudzik and Landes \textit{[Math. Ann.]} derived a breakthrough generalization of the triangle inequality for two nonzero elements in normed linear spaces, which was generalized to finitely many nonzero elements independently in 2006 by Dragomir \textit{[Bull. Aust. Math. Soc.]} and in 2007 by Kato, Saito and Tamura \textit{[Math. Inequal. Appl]}. We derive a non-Archimedean version of Hudzik-Landes-Dragomir-Kato-Saito-Tamura inequality.
Primarily human-written textHuman understanding: all partsNon-Archimedean linear spaceNormed linear spaceTriangle inequalityUltra-norm.