IMCS/Publications/BASM/Issues/BASM n.2 (15), 1994/

Approximate solution of singular integral equations with the help of series with respect to Faber-Laurent polynomials. (Russian)

Authors: Elavadi I. A.


The error estimation of the approximation of complex functions satisfying a Holder Condition in a uniform metric with the help of the partial sums of a series of Faber - Loran polinomial is established. A general case is considered, when the function defined on an arbitrary smooth closed contour bounding a simply connected region. An approximate solution of singular integral equation is built up, the error estimation of the deviation from the exact solution in the metric $C$ is considered.

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