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Matematicheskie Zametki, 2015, Volume 98, Issue 4, Pages 565–569
DOI: https://doi.org/10.4213/mzm10826 (Mi mzm10826) 		 
On Best Convergence of Series in the Systems $\varphi(nx)$

A. I. Rubinshtein
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DOI: https://doi.org/10.4213/mzm10826
Abstract: Sufficient conditions for the best convergence in $L_p$ of series in systems $\varphi(nx)$, where $\varphi(x)$ are polynomials or series in trigonometric and Walsh systems, are obtained.
Keywords: best convergence, trigonometric series, Walsh series, Paley series, Banach space.
Received: 21.03.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 4, Pages 631–635
DOI: https://doi.org/10.1134/S0001434615090308
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: A. I. Rubinshtein, “On Best Convergence of Series in the Systems $\varphi(nx)$”, Mat. Zametki, 98:4 (2015), 565–569; Math. Notes, 98:4 (2015), 631–635
Citation in format AMSBIB
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