A Note on Rational Approximation with Respect to Metrizable Compactifications of the Plane

In the present note we examine possible extensions of Runge, Mergelyan and Arakelian Theorems, when the uniform approximation is meant with respect to the metric ρ of a metrizable compactification (S, ρ) of the complex plane C.

Gespeichert in:

Autor*in:	M. Fragoulopoulou [verfasserIn] V. Nestoridis [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2016

Schlagwörter:	compactification Arakelian’s theorem Mergelyan’s theorem Runge’s theorem uniform approximation in the complex domain.

Übergeordnetes Werk:	In: Extracta Mathematicae - University of Extremadura, 2020, 31(2016), 1
Übergeordnetes Werk:	volume:31 ; year:2016 ; number:1

Links:	Link aufrufen Link aufrufen Journal toc Journal toc

Katalog-ID:	DOAJ065008804

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callnumber-first	Q - Science
author	M. Fragoulopoulou
spellingShingle	M. Fragoulopoulou misc QA1-939 misc compactification misc Arakelian’s theorem misc Mergelyan’s theorem misc Runge’s theorem misc uniform approximation in the complex domain. misc Mathematics A Note on Rational Approximation with Respect to Metrizable Compactifications of the Plane
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topic_title	QA1-939 A Note on Rational Approximation with Respect to Metrizable Compactifications of the Plane compactification Arakelian’s theorem Mergelyan’s theorem Runge’s theorem uniform approximation in the complex domain
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title	A Note on Rational Approximation with Respect to Metrizable Compactifications of the Plane
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title_sort	note on rational approximation with respect to metrizable compactifications of the plane
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title_auth	A Note on Rational Approximation with Respect to Metrizable Compactifications of the Plane
abstract	In the present note we examine possible extensions of Runge, Mergelyan and Arakelian Theorems, when the uniform approximation is meant with respect to the metric ρ of a metrizable compactification (S, ρ) of the complex plane C.
abstractGer	In the present note we examine possible extensions of Runge, Mergelyan and Arakelian Theorems, when the uniform approximation is meant with respect to the metric ρ of a metrizable compactification (S, ρ) of the complex plane C.
abstract_unstemmed	In the present note we examine possible extensions of Runge, Mergelyan and Arakelian Theorems, when the uniform approximation is meant with respect to the metric ρ of a metrizable compactification (S, ρ) of the complex plane C.
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