A local version of the Pawlucki-Plesniak extension operator
Date
2005-01
Authors
Altun, M.
Goncharov, A.
Editor(s)
Advisor
Supervisor
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Co-Supervisor
Instructor
Source Title
Journal of Approximation Theory
Print ISSN
0021-9045
Electronic ISSN
Publisher
Elsevier
Volume
132
Issue
1
1
1
Pages
34 - 41
Language
English
Type
Journal Title
Journal ISSN
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.