Polynomial approximations and smoothness moduli of functions in regions with a quasiconformal boundary
β Scribed by P. M. Tamrazov; V. I. Belyi
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1981
- Tongue
- English
- Weight
- 646 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0037-4466
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π SIMILAR VOLUMES
Error estimates for approximation of functions ~ox,a,0 (x) = ~x,~,l (x) + i~ox,a,2 (X) = [x[)~exp (iA[x[-Β°'), A > 0, a :> 0, A e R are given. Let E(f,B, Lp(f~)) denote the error of approximation of f by elements from B in the Lp-metric. Then, it is shown that for polynomial approximation E(~,a,l,Pr,
In this work, for the first time, generalized Faber series for functions in the Bergman space A 2 (G) on finite regions with a quasiconformal boundary are defined, and their convergence on compact subsets of G and with respect to the norm on ), the best approximation to f by polynomials of degree n