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This article is cited in 4 scientific papers (total in 4 papers)
On best convergence
A. I. Rubinshtein
Moscow State Forest University
Abstract:
Best convergence with respect to the $\mathbf L_p$-norm is studied for series in various complete orthonormal systems of functions.
DOI:
https://doi.org/10.4213/sm546
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English version:
Sbornik: Mathematics, 2001, 192:2, 277–297
Bibliographic databases:
   
UDC:
517.518
MSC: Primary 42C15, 41A50; Secondary 43A40
Received: 14.12.1999 and 10.07.2000
Citation:
A. I. Rubinshtein, “On best convergence”, Mat. Sb., 192:2 (2001), 119–138; Sb. Math., 192:2 (2001), 277–297
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/msb546https://doi.org/10.4213/sm546 http://mi.mathnet.ru/eng/msb/v192/i2/p119
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I. D. Tsopanov, “Obschie formuly regulyarizovannykh sledov dlya integro-differentsialnykh operatorov”, Vladikavk. matem. zhurn., 9:4 (2007), 32–48
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A. I. Rubinshtein, “On the best convergence of multiple trigonometric series”, Russian Math. (Iz. VUZ), 52:5 (2008), 72–79
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A. I. Rubinshtein, “On Best Convergence of Series in the Systems $\varphi(nx)$”, Math. Notes, 98:4 (2015), 631–635
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Rubinstein A.I., “About Functions on the Dyadic Group and Walsh Series”, Anal. Math., 41:1-2 (2015), 73–81
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