Non-Archimedean Massera-Schaffer-Maligranda-Pecaric-Rajic Inequality

Massera and Schaffer [$\mathit{\text{Ann.}}\mathit{\text{Math.}}\mathit{\text{(2),}}\mathit{\text{1958}}$] derived a breakthrough upper bound for the Clarkson angle between two nonzero vectors in a normed linear space, which was later improved by Maligranda [$\mathit{\text{Am.}}\mathit{\text{Math.}}\mathit{\text{Mon.,}}\mathit{\text{2006}}$]. Pecaric and Rajic [$\mathit{\text{Math.}}\mathit{\text{Inequal.}}\mathit{\text{Appl.,}}\mathit{\text{2007}}$] extended Maligranda’s inequality to finitely many nonzero vectors. We derive a non-Archimedean version of Massera-Schaffer-Maligranda-Pecaric-Rajic inequality.