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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


 English version:
Mathematics of the USSR-Sbornik, 1972, 18:1, 139–149

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