Approximation on disks

de Paepe, P. J.

doi:10.1090/S0002-9939-1986-0835885-0

Approximation on disks

Author: P. J. de Paepe
Journal: Proc. Amer. Math. Soc. 97 (1986), 299-302
MSC: Primary 30E10; Secondary 46J10
DOI: https://doi.org/10.1090/S0002-9939-1986-0835885-0
MathSciNet review: 835885
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Abstract: It is shown that if the functions and are defined in a neighborhood of the origin in the complex plane and are in a certain sense like ${z^m}$ and ${z^{ - n}}$ with $\gcd (m,n) = 1$ , then on sufficiently small closed disks around 0 every continuous function on can be uniformly approximated by polynomials in and .

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