Refinement of the Estimate for the Rate of Uniform Convergence of the Fourier Series of a Continuous Periodic Function of Bounded Variation

Refinement of the Estimate for the Rate of Uniform Convergence of the Fourier Series of a Continuous Periodic Function of Bounded Variation

An estimate for the convergence rate of the Fourier series of a continuous periodic function of bounded variation is refined.

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Veröffentlicht in:Mathematical Notes 2023-04, Vol.113 (3-4), p.525-537
Hauptverfasser: Popov, A. Yu, Semenova, T. Yu
Format: Artikel
Sprache:eng
Schlagworte:
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Continuity (mathematics)
Convergence
Fourier series
Mathematics
Mathematics and Statistics
Periodic functions
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Beschreibung
Zusammenfassung:An estimate for the convergence rate of the Fourier series of a continuous periodic function of bounded variation is refined.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434623030240