Mixed norm condition numbers for the univariate Bernstein basis
Volume 72 / 2006
Banach Center Publications 72 (2006), 177-188
MSC: Primary 41A10, 65D17;
Secondary 65G60, 65G99.
DOI: 10.4064/bc72-0-12
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 $p=q$.
