Research Information System
JOURNAL OF APPROXIMATION THEORY, vol.87, no.1, pp.25-35, 1996 (SCI-Expanded)
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 A(2)(G) is investigated. Finally, if S-n(f, z) is the nth partial sum of the generalized Faber series of f is an element of A(2)(G), the discrepancy parallel to f-Sn(f, .)parallel to(A2(G)) is evaluated by E(n),(f, G), the best approximation to f by polynomials of degree n. (C) 1996 Academic Press, Inc.