The best polynomial approximation of functions analytical in the single circle

In the Banach space $ℬ(p,q, \lambda)$, studied by M. I. Gvaradze, we establish a relation between the best polynomial approximation of an entire transcendental function and such important characteristics as its order of growth and its type.

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Bibliographische Detailangaben
Datum:1990
Hauptverfasser: Vakarchuk, S. B., Вакарчук, С. Б.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1990
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/8849
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:In the Banach space $ℬ(p,q, \lambda)$, studied by M. I. Gvaradze, we establish a relation between the best polynomial approximation of an entire transcendental function and such important characteristics as its order of growth and its type.