Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 119, Issue 1-2, Pages 259-273Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0377-0427(00)00383-6
Keywords
multidimensional approximation; polynomial approximation; error analysis; condition number
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We show that the p-norm condition number of the s-variate triangular Bernstein basis for polynomials of degree n grows at most as O(n(s)2(n)) for fixed s and increasing n. This is essentially the same growth as has already been established in the univariate case. (C) 2000 Elsevier Science B.V. All rights reserved.
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