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Abstrakty
We study the Kergin operator on the space $H_{Nb}(E)$ of nuclearly entire functions of bounded type on a Banach space E. We show that the Kergin operator is a projector with interpolating properties and that it preserves homogeneous solutions to homogeneous differential operators. Further, we show that the Kergin operator is uniquely determined by these properties. We give error estimates for approximating a function by its Kergin polynomial and show in this way that for any given bounded sequence of interpolation points and any nuclearly entire function, the corresponding sequence of Kergin polynomials converges.
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Kategorie tematyczne
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Rocznik
Tom
Numer
Strony
101-114
Opis fizyczny
Daty
wydano
2002
Twórcy
autor
- School of Mathematics and Systems Engineering, SE-351 95 Växjö, Sweden
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Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_4064-sm153-2-1