Approximation by Polynomials with Restricted Zeros

This paper discusses convergence properties of polynomials whose zeros lie on the real axis or in the upper half-plane. A result of Levin shows that uniform convergence of such polynomials to a non-zero limit on a complex sequence converging not too East to a limit in the lower half-plane implies lo...

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Veröffentlicht in:Journal of approximation theory 1994-10, Vol.79 (1), p.109-124
Hauptverfasser: Clunie, J.G., Kuijlaars, A.B.J.
Format: Artikel
Sprache:eng
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