On Hilbert extensions of Weierstrass' theorem with weights

被引：0

作者：

Quintana, Yamilet ^{[1
]}

机构：

[1] Univ Simon Bolivar, Dept Matemat Puras & Aplicadas, Caracas 1080A, Venezuela

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2010年 / 8卷 / 02期

关键词：

Weierstrass' theorem; g-valued weights; g-valued polynomials; g-valued continuous functions; SOBOLEV SPACES; APPROXIMATION;

D O I：

10.1155/2010/645369

中图分类号：

学科分类号：

摘要：

In this paper we study the set of g-valued functions which can be approximated by g-valued continuous functions in the norm L-g(infinity) (I, w), where I subset of R is a compact interval, g is a separable real Hilbert space and w is a certain g-valued weakly measurable weight. Thus, we obtain a new extension of the celebrated Weierstrass approximation theorem.

引用

页码：201 / 213

页数：13

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