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

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Author
Goncharov, A. P.
Ozfidan, N.
Date
2011
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.
Keywords
Topological bases
Cp-spaces
Cantor sets
Taylor expansions
Permalink
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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