A local version of the Pawlucki-Plesniak extension operator

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A_local_version_of_the_Pawlucki_Plesniak_extension_operator.pdf (204.03 KB)

Date

2005-01

Authors

Altun, M.
Goncharov, A.

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Source Title

Journal of Approximation Theory

Print ISSN

0021-9045

Electronic ISSN

Publisher

Elsevier

Volume

132

Issue

1
1

Pages

34 - 41

Language

English

Type

Article

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Volume Title

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Abstract

Using local interpolation of Whitney functions, we generalize the Pawłucki and Pleśniak approach to construct a continuous linear extension operator. We show the continuity of the modified operator in the case of generalized Cantor-type sets without Markov's Property.

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Keywords

Cantor-type sets, Extension operator, Local interpolation, Markov's property, Whitney functions

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Permalink

http://hdl.handle.net/11693/11357

Published Version (Please cite this version)

http://dx.doi.org/10.1016/j.jat.2004.10.013

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Scholarly Publications - Mathematics