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Simultaneous Approximation and Interpolation on Arakelian Sets

Published online by Cambridge University Press:  20 November 2018

Nikolai Nikolov
Affiliation:
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria e-mail: [email protected]
Peter Pflug
Affiliation:
Carl von Ossietzky Universität Oldenburg, Institut für Mathematik, Postfach 2503, D-26111 Oldenburg, Germany e-mail: [email protected]
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Abstract

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We extend results of P. M. Gauthier, W. Hengartner and A. A. Nersesyan on simultaneous approximation and interpolation on Arakelian sets.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2007

References

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[3] Nersesyan, A. A., Uniform approximation with simultaneous interpolation by analytic functions. Izv. Akad. Nauk Armyan SSR Ser. Mat. 15(1980), no. 4, 249257.Google Scholar
[4] Nikolov, N. and Pflug, P., The multipole Lempert function is monotone under inclusion of pole sets. Michigan Math. J. 54(2006), 111116.Google Scholar