On relationship between classes of $(\Psi, \overline\upbeta)$ -differentiable functions and Gevrey classes

DOI10.1007/S11253-009-0189-XzbMath1224.42008OpenAlexW2079648088MaRDI QIDQ3076359

A. S. Serdyuk, A. I. Stepanets, Andrii Shidlich

Publication date: 22 February 2011

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-009-0189-x

zbMATH Keywords

Gevrey classperiodic functionclasses of differentiable functions

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 (4)

Asymptotically best possible Lebesgue-type inequalities for the fourier sums on sets of generalized poisson integrals ⋮ Approximation of generalized Poisson integrals by interpolating trigonometric polynomials ⋮ Jackson-type inequalities with generalized modulus of continuity and exact values of the \(n\)-widths for the classes of \((\psi,\beta)\)-differentiable functions in \(L_2\). I ⋮ Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces \(L_S\)

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