Mixed norm condition numbers for the univariate Bernstein basis

Tom Lyche, and Karl Scherer. "Mixed norm condition numbers for the univariate Bernstein basis." Banach Center Publications 72.1 (2006): 177-188. <http://eudml.org/doc/281890>.

@article{TomLyche2006,
abstract = {We study mixed norm condition numbers for the univariate Bernstein basis for polynomials of degree n, that is, we measure the stability of the coefficients of the basis in the $l_q$-sequence norm whereas the polynomials to be represented are measured in the $L_p$-function norm. The resulting condition numbers differ from earlier results obtained for p = q.},
author = {Tom Lyche, Karl Scherer},
journal = {Banach Center Publications},
keywords = {Bernstein polynomials; condition number; Bernstein basis},
language = {eng},
number = {1},
pages = {177-188},
title = {Mixed norm condition numbers for the univariate Bernstein basis},
url = {http://eudml.org/doc/281890},
volume = {72},
year = {2006},
}

TY - JOUR
AU - Tom Lyche
AU - Karl Scherer
TI - Mixed norm condition numbers for the univariate Bernstein basis
JO - Banach Center Publications
PY - 2006
VL - 72
IS - 1
SP - 177
EP - 188
AB - We study mixed norm condition numbers for the univariate Bernstein basis for polynomials of degree n, that is, we measure the stability of the coefficients of the basis in the $l_q$-sequence norm whereas the polynomials to be represented are measured in the $L_p$-function norm. The resulting condition numbers differ from earlier results obtained for p = q.
LA - eng
KW - Bernstein polynomials; condition number; Bernstein basis
UR - http://eudml.org/doc/281890
ER -