We prove a variant of the classical Whitney extension theorem, in
which the $C^m$-norm of the extending function is controlled up to a
given, small percentage error.
@article{1282913833,
author = {Fefferman
,
Charles},
title = {The $C^m$ Norm of a Function with Prescribed Jets I},
journal = {Rev. Mat. Iberoamericana},
volume = {26},
number = {1},
year = {2010},
pages = { 1075-1098},
language = {en},
url = {http://dml.mathdoc.fr/item/1282913833}
}
Fefferman
,
Charles. The $C^m$ Norm of a Function with Prescribed Jets I. Rev. Mat. Iberoamericana, Tome 26 (2010) no. 1, pp. 1075-1098. http://gdmltest.u-ga.fr/item/1282913833/