{"id":"hexagon/2610.00496","pdf":"https://hexagonmath.org/pdf/2610.00496v1","url":"https://hexagonmath.org/abs/2610.00496v1","tags":["math.FA","msc:12E20","msc:46B20","Finite Field.","Normed linear space","Sub-modulus","Sub-norm.","Triangle inequality"],"score":0,"title":"Finite Field Hudzik-Landes-Dragomir-Kato-Saito-Tamura Inequality","domain":"math.AC","source":"hexagon","authors":["K. MAHESH KRISHNA"],"reviews":0,"subject":"math.AC","summary":"Hudzik and Landes \\textit{[Math. Ann., 1992]} derived a major generalization of the triangle inequality for two nonzero elements in normed linear spaces, which was extended to finitely many nonzero elements independently by Dragomir \\textit{[Bull. Aust. Math. Soc., 2006]} and by Kato, Saito and Tamura \\textit{[Math. Inequal. Appl., 2007]}. We derive a finite field version of Hudzik-Landes-Dragomir-Kato-Saito-Tamura inequality.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-23","reactions":{},"withdrawn":false,"authorship":"human","formalized":false,"human_understanding":"all"}