Some extremal functions in Fourier analysis. II

DOI10.1090/S0002-9947-2010-04886-XzbMath1207.41013arXiv0809.4050OpenAlexW2960050524MaRDI QIDQ3056569

Jeffrey D. Vaaler, Emanuel Carneiro

Publication date: 12 November 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.4050

zbMATH Keywords

Fourier analysisextremal functionsmajorizationexponential type

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Interpolation in approximation theory (41A05) Uniqueness of best approximation (41A52) Approximation by other special function classes (41A30) Trigonometric polynomials, inequalities, extremal problems (42A05) Best constants in approximation theory (41A44)

Related Items (20)

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Cites Work

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• The Beurling-Selberg extremal functions for a ball in Euclidean space
• Entire approximations to the truncated powers
• Fonctions entières et intégrales de Fourier multiples. II
• Entire majorants via Euler–Maclaurin summation
• Some extremal functions in Fourier analysis
• A Class of Extremal Functions for the Fourier Transform
• The analytic principle of the large sieve
• Some trigonometric extremal functions and the Erdos-Turan type inequalities
• Note on a Diophantine inequality in several variables
• Hilbert's Inequality

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