On Various Moduli of Smoothness and K-Functionals

We present a survey of the results on the exact rates of approximation of functions by linear means of Fourier series and Fourier integrals. The corresponding K -functionals are expressed via the special moduli of smoothness.

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Bibliographische Detailangaben
Veröffentlicht in:	Ukrainian mathematical journal 2020-12, Vol.72 (7), p.1131-1163
1. Verfasser:	Trigub, R. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Geometry Mathematics Mathematics and Statistics Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We present a survey of the results on the exact rates of approximation of functions by linear means of Fourier series and Fourier integrals. The corresponding K -functionals are expressed via the special moduli of smoothness.
ISSN:	0041-5995 1573-9376
DOI:	10.1007/s11253-020-01848-0