Behavior of partial sums of lacunary Fourier series

DOI10.1007/BF01146269zbMath0519.42013MaRDI QIDQ1054939

G. Mitschke, R. J. Nessel, G. Wilmes

Publication date: 1982

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

zbMATH Keywords

lacunary Fourier series\((C,\alpha)\)-basesde la Vallee Poussin meansorder of best approximation

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Summability and absolute summability of Fourier and trigonometric series (42A24) Lacunary series of trigonometric and other functions; Riesz products (42A55)

Cites Work

• On summation processes of Fourier expansions in Banach spaces. II: Saturation theorems
• The order of approximation by partial sums of lacunary series in Banach spaces
• Nikolskii-type inequalities in connection with regular spectral measures

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