This article is cited in 1 paper

On approximations of compact sets of functions by algebraic surfaces

S. N. Kudryavtsev


Abstract: This article deals with approximations of certain compact sets of smooth and analytic functions by families of functions depending in a polynomial fashion on parameters. The connection between the accuracy of the approximations of the compact sets by such families and the number of parameters and their degree is studied.
Bibliography: 3 titles.

UDC: 517.5

MSC: Primary 41A30; Secondary 30E10, 41A46

Received: 22.04.1985

 English version: Mathematics of the USSR-Izvestiya, 1986, 27:3, 521–533

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