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Extremal Polynomials with Preassigned Zeros and Rational Approximants

✍ Scribed by A. Ambroladze; H. Wallin

Publisher
Springer
Year
1997
Tongue
English
Weight
181 KB
Volume
14
Category
Article
ISSN
0176-4276

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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 fast to a limit in the lower half-plane implies lo