Upper bounds for the constants of Bennett's inequality and the Gale–Berlekamp switching game

DOI10.1112/mtk.12229arXiv2111.00445OpenAlexW3209877548MaRDI QIDQ6144273

Daniel M. Pellegrino, Anselmo jun. Raposo

Publication date: 29 January 2024

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.00445

Mathematics Subject Classification ID

Bounds on codes (94B65) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Probabilistic games; gambling (91A60) Forms (bilinear, sesquilinear, multilinear) (47A07)

Cites Work

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• Schur multipliers
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• The correct solution to Berlekamp's switching game
• Constants of the Kahane-Salem-Zygmund inequality asymptotically bounded by 1
• Sharp generalizations of the multilinear Bohnenblust-Hille inequality
• Asymptotic estimates for unimodular multilinear forms with small norms on sequence spaces
• MAXIMUM MODULUS OF RANDOM POLYNOMIALS
• The Schur multiplication in tensor algebras
• Bohr’s power series theorem in several variables
• Minimization of ±1 matrices under line shifts

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