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Non-Archimedean Massera-Schaffer-Maligranda-Pecaric-Rajic Inequality
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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.
Title: Non-Archimedean Massera-Schaffer-Maligranda-Pecaric-Rajic Inequality
Description:
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.
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