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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
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.

UDC: 519.62

Received: 18.09.2014


 English version: Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, 288, suppl. 1, 40–45

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© Steklov Math. Inst. of RAS, 2025