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Approximation of a Function and its Derivatives by Entire Functions of Several Variables

Published online by Cambridge University Press:  20 November 2018

El Mostapha Frih  and
Paul M. Gauthier
Paul M. Gauthier
Affiliation:
Département de Mathématiques et de Statistique et Centre de Recherches, Mathématiques Université de Montréal
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Abstract

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The paper gives a good approximation of a Ck function on Rn and its derivatives by the restriction of an entire function on Cn and its derivatives respectively.

Keywords

32A1541A30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 4 , 01 December 1988 , pp. 495 - 499
Copyright
Copyright © Canadian Mathematical Society 1988

References

1. Hoischen, L., Eine Verschärfung eines Approximationssatzes von Carleman Journal of Approximation Theory 9, (1973), pp. 272–277.Google Scholar
2. Narasimhan, R., Analysis on real and complex manifolds North-Holland Publishing Co., Amsterdam, 1968.Google Scholar
3. Scheinberg, S., Uniform approximation by entire functions Journal d'Analyse Mathématique, 29, (1976), pp. 16–19.Google Scholar