Some extremal functions in Fourier analysis. III

DOI10.1007/s00365-009-9050-6zbMath1183.41020arXiv0809.4053OpenAlexW3155779732MaRDI QIDQ2267392

Jeffrey D. Vaaler, Emanuel Carneiro

Publication date: 1 March 2010

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.4053

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 (17)

The Gaussian core model in high dimensions ⋮ Bounding \(S(t)\) and \(S_1(t)\) on the Riemann hypothesis ⋮ Bandlimited approximations to the truncated Gaussian and applications ⋮ Exact errors of best approximation for complex-valued periodic functions ⋮ One-sided band-limited approximations of some radial functions ⋮ Sharp constants of approximation theory. IV: Asymptotic relations in general settings ⋮ Extremal functions in de Branges and Euclidean spaces ⋮ Entire approximations for a class of truncated and odd functions ⋮ Exact errors of best approximation for complex-valued nonperiodic functions ⋮ A VARIATION ON SELBERG'S APPROXIMATION PROBLEM ⋮ Some extremal functions in Fourier analysis. III ⋮ Asymptotic behaviour of the error of polynomial approximation of functions like \(\vert x\vert^{\alpha+i\beta}\) ⋮ \(L^1\)-approximation to Laplace transforms of signed measures ⋮ Interpolation formulas with derivatives in de Branges spaces ⋮ Asymptotic relations between interpolation differences and zeta functions ⋮ Gaussian subordination for the Beurling-Selberg extremal problem ⋮ Extremal problems in de Branges spaces: the case of truncated and odd functions

Cites Work

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• 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

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