{"id":"hexagon/2610.00229","pdf":"https://hexagonmath.org/pdf/2610.00229v1","url":"https://hexagonmath.org/abs/2610.00229v1","tags":["math.FA","msc:12J25","msc:46S10","Non-Archimedean linear space","Normed linear space","Triangle inequality","Ultra-norm."],"score":0,"title":"Non-Archimedean Massera-Schaffer-Maligranda-Pecaric-Rajic Inequality","domain":"math.NT","source":"hexagon","authors":["K. MAHESH KRISHNA"],"reviews":0,"subject":"math.NT","summary":"Massera and Schaffer [\\textit{Ann. Math. (2), 1958}] derived a breakthrough upper bound for the Clarkson angle between two nonzero vectors in a normed linear space, which was later improved by Maligranda [\\textit{Am. Math. Mon., 2006}]. Pecaric and Rajic [\\textit{Math. Inequal. Appl., 2007}] extended Maligranda's inequality to finitely many nonzero vectors. We derive a non-Archimedean version of Massera-Schaffer-Maligranda-Pecaric-Rajic inequality.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-14","reactions":{},"withdrawn":false,"authorship":"human","formalized":false,"human_understanding":"all"}