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Matematicheskie Zametki, 1968, Volume 4, Issue 2, Pages 201–210
(Mi mzm6762)
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This article is cited in 1 scientific paper (total in 1 paper)
The order of approximation to functions of the $Z_\alpha$. Class by means of positive linear operators
L. I. Bausov
Abstract:
Let $C_n(\varphi,\alpha)$ be the upper bound for deviations of periodic functions which form the Zygmund class $Z_\alpha$, $0<\alpha<2$ from a class of positive linear operators. A study is made of the conditions under which there exists a limit $\lim\limits_{n\to\infty}n^\alpha C_n(\varphi,\alpha)$. An explicit expression is given for the functions $C(\varphi,\alpha)$.
Received: 20.12.1967
Citation:
L. I. Bausov, “The order of approximation to functions of the $Z_\alpha$. Class by means of positive linear operators”, Mat. Zametki, 4:2 (1968), 201–210; Math. Notes, 4:2 (1968), 612–617
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Abstract page: | 183 | Full-text PDF : | 91 | First page: | 1 |
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