Extension via interpolation

A. Goncharov

Banach Center Publications (2005)

  • Volume: 68, Issue: 1, page 43-49
  • ISSN: 0137-6934

Abstract

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We suggest a modification of the Pawłucki and Pleśniak method to construct a continuous linear extension operator by means of interpolation polynomials. As an illustration we present explicitly the extension operator for the space of Whitney functions given on the Cantor ternary set.

How to cite

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A. Goncharov. "Extension via interpolation." Banach Center Publications 68.1 (2005): 43-49. <http://eudml.org/doc/281908>.

@article{A2005,
abstract = {We suggest a modification of the Pawłucki and Pleśniak method to construct a continuous linear extension operator by means of interpolation polynomials. As an illustration we present explicitly the extension operator for the space of Whitney functions given on the Cantor ternary set.},
author = {A. Goncharov},
journal = {Banach Center Publications},
keywords = {linear extension operator; Whitney functions},
language = {eng},
number = {1},
pages = {43-49},
title = {Extension via interpolation},
url = {http://eudml.org/doc/281908},
volume = {68},
year = {2005},
}

TY - JOUR
AU - A. Goncharov
TI - Extension via interpolation
JO - Banach Center Publications
PY - 2005
VL - 68
IS - 1
SP - 43
EP - 49
AB - We suggest a modification of the Pawłucki and Pleśniak method to construct a continuous linear extension operator by means of interpolation polynomials. As an illustration we present explicitly the extension operator for the space of Whitney functions given on the Cantor ternary set.
LA - eng
KW - linear extension operator; Whitney functions
UR - http://eudml.org/doc/281908
ER -

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