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This article is cited in 5 scientific papers (total in 5 papers)
The solid inverse problem of polynomial approximation of functions on a regular compactum
P. M. Tamrazov
Abstract:
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.
Received: 23.03.1971
Citation:
P. M. Tamrazov, “The solid inverse problem of polynomial approximation of functions on a regular compactum”, Math. USSR-Izv., 7:1 (1973), 145–162
Linking options:
https://www.mathnet.ru/eng/im2218https://doi.org/10.1070/IM1973v007n01ABEH001930 https://www.mathnet.ru/eng/im/v37/i1/p148
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