Approximation on Subsets and Holomorphy in Neighborhood

Author: Dovgoshecaroni A.A.

Source: Analysis Mathematica, Volume 26, Number 1, 2000 , pp. 3-15(13)

Publisher: Springer

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Abstract:

Let M be an arbitrary subset of the complex plane C, and let a function fnof be defined on M. The connection between the holomorphy of fnof and the degree of the best polynomial approximation of fnof on compact subsets of M having a unique limit point is described.

Language: English

Document Type: Regular paper

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