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News/A Sharp Norm Inequality and Buzano's Inequality via Determinants
arxiv
PublishedSeptember 29, 2026 at 4:00 AM
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A Sharp Norm Inequality and Buzano's Inequality via Determinants

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arXiv:2604.01525v2 Announce Type: replace-cross Abstract: We give a short linear-algebraic proof of the inequality $$ \|x\|_1\,\|x\|_\infty \le \frac{1+\sqrt{n}}{2}\,\|x\|_2^2, $$ valid for every $x\in\mathbb{R}^n$. This inequality relates three fundamental norms on finite-dimensional spaces and has

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