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A convergence problem for Kergin interpolation

Published online by Cambridge University Press:  20 January 2009

Jean Paul Calvi
Jean Paul Calvi
Affiliation:
Laboratoire D'Analyse Complexe, Universite Paul Sabatier, 118, Route de Narbonne, 31062 Toulouse Cedex, France E-Mail: Calvi@cix.cict.fr
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Abstract

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Let E, F, G be three compact sets in ℂn. We say that (E, F, G) holds if for any choice of an interpolating array in F and of an analytic function ℂ on G, the Kergjn interpolation polynomial of ℂ exists and converges to ℂ on E. Given two of the three sets, we study how to construct the third in order that (E, F, G) holds.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 1 , February 1994 , pp. 175 - 183
Copyright
Copyright © Edinburgh Mathematical Society 1994

References

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