Bases in Banach spaces of smooth functions on Cantor-type sets

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Bases in Banach spaces of smooth functions on Cantor-type sets.pdf (219.92 KB)

Date

2011

Authors

Goncharov, A. P.
Ozfidan, N.

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Source Title

Journal of Approximation Theory

Print ISSN

0021-9045

Electronic ISSN

1096-0430

Publisher

Elsevier

Volume

163

Issue

12

Pages

1798 - 1805

Language

English

Type

Article

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Abstract

We suggest a Schauder basis in Banach spaces of smooth functions and traces of smooth functions on Cantor-type sets. In the construction, local Taylor expansions of functions are used. © 2011 Elsevier Inc.

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Keywords

Topological bases, Cp-spaces, Cantor sets, Taylor expansions

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http://hdl.handle.net/11693/21705

Published Version (Please cite this version)

http://dx.doi.org/10.1016/j.jat.2011.05.012

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Scholarly Publications - Mathematics