{"id":"hexagon/2610.00215","pdf":"https://hexagonmath.org/pdf/2610.00215v1","url":"https://hexagonmath.org/abs/2610.00215v1","tags":["math.FA","msc:12J25","msc:46S10","Non-Archimedean linear space","Normed linear space","Triangle inequality","Ultra-norm."],"score":0,"title":"Non-Archimedean Hudzik-Landes-Dragomir-Kato-Saito-Tamura Inequality","domain":"math.NT","source":"hexagon","authors":["K. MAHESH KRISHNA"],"reviews":0,"subject":"math.NT","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-13","reactions":{},"withdrawn":false,"authorship":"human","formalized":false,"human_understanding":"all"}