ON CLASSES OF INFINITELY DIFFERENTIABLE FUNCTIONS

DOI10.1070/SM1991V070N01ABEH001251zbMath0794.42004OpenAlexW2078101755MaRDI QIDQ4712344

P. L. Ul'yanov

Publication date: 25 June 1992

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1991v070n01abeh001251

zbMATH Keywords

Gevrey classderivativestrigonometric polynomialsbest approximationFourier coefficientsrate of growth\(2\pi\)-periodic functionsinfinitely differentiable periodic function

Mathematics Subject Classification ID

Trigonometric approximation (42A10) (C^infty)-functions, quasi-analytic functions (26E10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (3)

On the space of periodic ultradifferentiable Roumieu functions and its dual space ⋮ On a class of periodic functions in $\mathbb{R}^n$ ⋮ Constructive description of a class of periodic functions on the real line

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