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Matematicheskie Zametki, 1970, Volume 8, Issue 5, Pages 575–582
(Mi mzm7005)
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The order of approximation by partial sums of lacunary series in Banach spaces
V. F. Gaposhkin
Abstract:
Conditions are determined which must be imposed on an $n_k$ lacunary sequence and a $(C,1)$-basis in Banach. space in order that the analog of the theorem concerning best approximation by partial sums of lacunary trigonometrical series should hold.
Received: 09.10.1969
Citation:
V. F. Gaposhkin, “The order of approximation by partial sums of lacunary series in Banach spaces”, Mat. Zametki, 8:5 (1970), 575–582; Math. Notes, 8:5 (1970), 792–796
Linking options:
https://www.mathnet.ru/eng/mzm7005 https://www.mathnet.ru/eng/mzm/v8/i5/p575
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Abstract page: | 167 | Full-text PDF : | 87 | First page: | 1 |
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