The rate of polynomial approximation in the complex domain

Isomorphisms of the disc algebra and inverse faber sets

Best Approximation on Smooth Arcs

The degree of approximation by rational functions with fixed poles

. One of the basic tools in the theory of polynomial approximation in the uniform norm on compact plane sets is the Faber operator. Usually, the Faber operator is viewed as an operator acting on functions in the disk algebra, that is, functions which are holomorphic in the open unit disk D and continuous on D. We consider an extended Faber operator acting on arbitrary functions continuous on ;D.

An extended Faber operator

On the degree of polynomial and rational approximation of holomorphic functions

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On the degree of polynomial and rational approximation of holomorphic functions