Trigonometric Series with Coefficients General Monotone with Respect to Subsequences

Trigonometric Series with Coefficients General Monotone with Respect to Subsequences

In this paper, we consider the functions, which are represented as trigonometric series with Fourier coefficients general monotone with respect to subsequences. For these functions, estimates of the norms and modules of smoothness are given.

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Veröffentlicht in:Russian mathematics 2021, Vol.65 (1), p.8-26
Hauptverfasser: Simonova, I. E., Simonov, B. V.
Format: Artikel
Sprache:eng
Schlagworte:
Fourier series
Mathematics
Mathematics and Statistics
Norms
Smoothness
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Beschreibung
Zusammenfassung:In this paper, we consider the functions, which are represented as trigonometric series with Fourier coefficients general monotone with respect to subsequences. For these functions, estimates of the norms and modules of smoothness are given.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X21010023