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This article is cited in 6 scientific papers (total in 6 papers)
Some properties of conformal and quasiconformal mappings and direct theorems of the constructive theory of functions
V. I. Belyi, V. M. Miklyukov
Abstract:
This paper is devoted to an application of the methods of geometric function theory of a single complex variable and some results from the theory of conformal and quasiconformal mappings to a solution of the direct problem of the constructive theory of functions.
Direct theorems are obtained for the theory of approximation of functions regular in regions bounded by quasiconformal curves admitting a geometric description. In particular, direct theorems are obtained for arbitrary bounded convex regions.
Received: 27.10.1973
Citation:
V. I. Belyi, V. M. Miklyukov, “Some properties of conformal and quasiconformal mappings and direct theorems of the constructive theory of functions”, Izv. Akad. Nauk SSSR Ser. Mat., 38:6 (1974), 1343–1361; Math. USSR-Izv., 8:6 (1974), 1323–1341
Linking options:
https://www.mathnet.ru/eng/im2015https://doi.org/10.1070/IM1974v008n06ABEH002150 https://www.mathnet.ru/eng/im/v38/i6/p1343
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Abstract page: | 392 | Russian version PDF: | 145 | English version PDF: | 5 | References: | 44 | First page: | 2 |
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