Journal article
Multivariate polynomial approximation in the hypercube
- Abstract:
- A theorem is proved concerning approximation of analytic functions by multivariate polynomials in the s-dimensional hypercube. The geometric convergence rate is determined not by the usual notion of degree of a multivariate polynomial, but by the Euclidean degree, defined in terms of the 2-norm rather than the 1-norm of the exponent vector k of a monomial $x_1^{k_1}\cdots \kern .8pt x_s^{k_s}$.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 138.6KB, Terms of use)
-
- Publisher copy:
- 10.1090/proc/13623
Authors
- Publisher:
- American Mathematical Society
- Journal:
- Proceedings of the American Mathematical Society More from this journal
- Volume:
- 145
- Pages:
- 4837-4844
- Publication date:
- 2017-06-08
- Acceptance date:
- 2016-12-14
- DOI:
Terms of use
- Copyright holder:
- American Mathematical Society
- Copyright date:
- 2017
- Notes:
- © 2017 American Mathematical Society. This is the accepted manuscript version of the article. The final version is available online from American Mathematical Society at: https://doi.org/10.1090/proc/13623
If you are the owner of this record, you can report an update to it here: Report update to this record