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JOURNALS
// Matematicheskii Sbornik
// Archive
Mat. Sb. (N.S.),
1972
Volume 89(131),
Number 1(9),
Pages
138–147
(Mi sm3222)
This article is cited in
4
papers
The exact asymptotic behavior of the best approximation by algebraic and trigonometric polynomials in the Hausdorff metric
B. Kh. Sendov
,
V. A. Popov
Abstract:
In this paper the precise asymptotic behavior is given for the best approximation by algebraic and trigonometric polynomials in the Hausdorff metric in the class of all bounded (
$2\pi$
-periodic) functions.
Bibliography: 3 titles.
UDC:
517.51
MSC:
41A10
,
41A50
,
41A60
,
42A08
Received:
20.11.1971
Fulltext:
PDF file (636 kB)
References
Cited by
English version:
Mathematics of the USSR-Sbornik, 1972,
18
:1,
139–149
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024