On continual interpolation nodes for operators in linear topological spaces

We establish conditions for the existence of continual nodes for interpolation polynomials of the integral type. This result is generalized to the case of multivariable operators. Some examples of these interpolants are analyzed.

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Datum:2010
Hauptverfasser: Kashpur, O. F., Makarov, V. L., Khlobystov, V. V., Кашпур, О. Ф., Макаров, В. Л., Хлобистов, В. В.
Format: Artikel
Sprache:Ukrainisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2010
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/2883
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:We establish conditions for the existence of continual nodes for interpolation polynomials of the integral type. This result is generalized to the case of multivariable operators. Some examples of these interpolants are analyzed.