Non-Archimedean Massera-Schaffer-Maligranda-Pecaric-Rajic Inequality
Abstract
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.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Advanced Banach Space Theory
advanced mathematical theories
Publication details
- Journal / source
- Preprints.org
- Publication date
- 13 January 2026
- Document type
- Preprint