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Trudy Inst. Mat. i Mekh. UrO RAN, 2014, Volume 20, Number 4, Pages 38–43 (Mi timm1113)  

Linear approximation of vector functions

V. I. Berdyshevab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Yeltsin Ural Federal University

Abstract: In a problem on the approximation of a vector function continuous on an interval by linear functions in the Chebyshev metric, necessary and sufficient conditions on the best approximation function are established.

Keywords: vector function, approximation, criterion.

Full text: PDF file (127 kB)
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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, 288, suppl. 1, 40–45

Bibliographic databases:

Document Type: Article
UDC: 519.62
Received: 18.09.2014

Citation: V. I. Berdyshev, “Linear approximation of vector functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 4, 2014, 38–43; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 40–45

Citation in format AMSBIB
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