Mixed norm condition numbers for the univariate Bernstein basis
Tom Lyche ; Karl Scherer
Banach Center Publications, Tome 72 (2006), p. 177-188 / Harvested from The Polish Digital Mathematics Library
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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 lq-sequence norm whereas the polynomials to be represented are measured in the Lp-function norm. The resulting condition numbers differ from earlier results obtained for p = q.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:281890 
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     title = {Mixed norm condition numbers for the univariate Bernstein basis},
     journal = {Banach Center Publications},
     volume = {72},
     year = {2006},
     pages = {177-188},
     zbl = {1148.41024},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc72-0-12}
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Tom Lyche; Karl Scherer. Mixed norm condition numbers for the univariate Bernstein basis. Banach Center Publications, Tome 72 (2006) pp. 177-188. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc72-0-12/