This article is cited in 15 papers

A Chebyshev theorem for the approximation of a function of two variables by sums of the type $\varphi(x)+\psi(y)$

S. Ya. Havinson


Abstract: Criteria are obtained for sums of the form$\varphi(x)+\psi(y)$ to deviate by the smallest possible amount from a given function $f(x, y)$ in various metrics.

UDC: 517.5

MSC: 41A50, 26Bxx, 28A05

Received: 28.12.1967

 English version: Mathematics of the USSR-Izvestiya, 1969, 3:3, 617–632

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