This article is cited in 2 scientific papers (total in 2 papers)
The solid inverse problem of polynomial approximation of functions on a regular compactum
P. M. Tamrazov
We solve the solid inverse problem of polynomial approximation of functions on compact of the complex plane which have a connected complement and which are regular in the sense of the solvability of the Dirichlet problem for continuous boundary values. Here the term “solid” is used to denote that the derivative and the modulus of continuity of the function are defined with regard to not only the boundary but also the interior points of the compactum.
As a very special case the results of this paper contain the solution for the solid inverse problem of polynomial approximation for arbitrary bounded continua with connected complement.
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Mathematics of the USSR-Izvestiya, 1973, 7:1, 145–162
P. M. Tamrazov, “The solid inverse problem of polynomial approximation of functions on a regular compactum”, Izv. Akad. Nauk SSSR Ser. Mat., 37:1 (1973), 148–164; Math. USSR-Izv., 7:1 (1973), 145–162
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\paper The solid inverse problem of polynomial approximation of functions on a~regular compactum
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\jour Math. USSR-Izv.
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This publication is cited in the following articles:
V. I. Belyi, “Conformal mappings and the approximation of analytic functions in domains with a quasiconformal boundary”, Math. USSR-Sb., 31:3 (1977), 289–317
V. V. Andrievskii, “Approximation characterization of classes of functions on continua of the complex plane”, Math. USSR-Sb., 53:1 (1986), 69–87
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