On convergence of families of linear polynomial operators

DOI10.7169/FACM/1254330158zbMath1182.42004OpenAlexW2065208082MaRDI QIDQ1038618

Vladimir I. Rukasov, Konstantin V. Runovski, Hans-Juergen Schmeisser

Publication date: 18 November 2009

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7169/facm/1254330158

zbMATH Keywords

Fourier transformapproximationtrigonometric polynomials\(L_p\)-convergenceclassical means

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Trigonometric interpolation (42A15) Multipliers for harmonic analysis in several variables (42B15)

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On the representation of functions as Fourier integrals ⋮ Periodic Besov spaces and generalized moduli of smoothness ⋮ Moduli of smoothness related to the Laplace-operator ⋮ Moduli of smoothness related to fractional Riesz-derivatives ⋮ Approximation by families of linear trigonometric polynomial operators and smoothness properties of functions ⋮ Besov spaces with generalized smoothness and summability of multiple Fourier series

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