Geodesic
Some properties of conformal and quasiconformal mappings and direct theorems of the constructive theory of functions
Izvestiya. Mathematics , Tome 8 (1974) no. 6, pp. 1323-1341.

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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. 
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V. I. Belyi; V. M. Miklyukov. Some properties of conformal and quasiconformal mappings and direct theorems of the constructive theory of functions. Izvestiya. Mathematics , Tome 8 (1974) no. 6, pp. 1323-1341. http://geodesic.mathdoc.fr/item/IM2_1974_8_6_a9/

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