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This article is cited in 5 scientific papers (total in 5 papers)
Properties of a Family of Operators
M. K. Potapov M. V. Lomonosov Moscow State University
Abstract:
In this paper we define a family of new nonsymmetric operators of generalized translation and describe their properties. For each of these operators, we introduce a generalized modulus of smoothness, for which the direct and inverse theorems of approximation theory are given.
Received: 09.11.1999 Revised: 03.03.2000
Citation:
M. K. Potapov, “Properties of a Family of Operators”, Mat. Zametki, 69:3 (2001), 412–426; Math. Notes, 69:3 (2001), 373–386
Linking options:
https://www.mathnet.ru/eng/mzm514https://doi.org/10.4213/mzm514 https://www.mathnet.ru/eng/mzm/v69/i3/p412
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Abstract page: | 479 | Full-text PDF : | 234 | References: | 114 | First page: | 3 |
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