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Complex Approximation and Simultaneous Interpolation on Closed Sets

Published online by Cambridge University Press:  20 November 2018

P. M. Gauthier  and
W. Hengartner
P. M. Gauthier
Affiliation:
Université de Montréal, Montréal, Québec
W. Hengartner
Affiliation:
Université Laval, Québec, Québec
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Let ƒ be a complex-valued function denned on a closed subset F of the finite complex plane C, and let {Zn} be a sequence on F without limit points. We wish to find an analytic function g which simultaneously approximates ƒ uniformly on F and interpolates ƒ at the points {Zn}.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 4 , 01 August 1977 , pp. 701 - 706
Copyright
Copyright © Canadian Mathematical Society 1977

References

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