A local version of the Pawłucki–Pleśniak extension operator

M Altun,A Goncharov

doi:10.1016/j.jat.2004.10.013

A local version of the Pawłucki–Pleśniak extension operator

M Altun, A Goncharov

Open Access

https://doi.org/10.1016/j.jat.2004.10.013

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Journal: Journal of Approximation Theory	Publication Date: Dec 21, 2004
Citations: 20	License type: elsevier-specific

Affiliation: Bilkent University

#Markov's Property #Continuous Linear Operator + Show 8 more

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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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