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.
Universitatea de Stat din Moldova
str. Mateevici 60, Chişinău MD-2009, Moldova