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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1995 Volume 58, Issue 3, Pages 355–364 (Mi mzm2052)

This article is cited in 1 paper

Uniform polynomial approximation of entire functions on arbitrary compact sets in the complex plane

A. A. Dovgoshey

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences

Abstract: For an arbitrary compact set $K\subset\mathbb C$, we relate the order and the type of an entire function $f$ to the sequence $E_n(f,H)$ of best polynomial approximations to this function on $K$.

Received: 19.04.1993


 English version:
Mathematical Notes, 1995, 58:3, 921–927

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