A local version of the Pawlucki–Plesniak extension operator

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• 作者：Altun ; M. ; Goncharov ; A.
• 关键词：primary 46E10 ; secondary 41A05 ; 41A10 ; Whitney functions ; Extension operator ; Local interpolation ; Cantor-type sets ; Markov's Property
• 刊名：Journal of Approximation Theory
• 出版年：2005
• 出版时间：January, 2005
• 年：2005
• 卷：132
• 期：1
• 页码：34-41
• 全文大小：204 K

文摘

Using local interpolation of Whitney functions, we generalize the Pawlucki and Plesniak 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.