Schultz, Martin H. (1969) L∞-Multivariate approximation theory. SIAM Journal on Numerical Analysis, 6 (2). pp. 161-183. ISSN 0036-1429. doi:10.1137/0706017. https://resolver.caltech.edu/CaltechAUTHORS:20140306-100951563
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Abstract
This paper is concerned with multivariate analogues of many standard results in the L∞-approximation theory of functions of one real variable, cf. [12], [13], [14], [20], [21] and [24]. In particular, asymptotic bounds are given for the distance of a given smooth function from various finite-dimensional spaces such as multivariate trigonometric polynomials, multivariate algebraic polynomials and multivariate polynomial spline functions.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1969 Society for Industrial and Applied Mathematics. Received by the editors September 6, 1968. This research was supported in part by the Westinghouse Research Laboratories, Pittsburgh, Pennsylvania. | |||||||||
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| Issue or Number: | 2 | |||||||||
| DOI: | 10.1137/0706017 | |||||||||
| Record Number: | CaltechAUTHORS:20140306-100951563 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20140306-100951563 | |||||||||
| Official Citation: | L∞-Multivariate Approximation Theory Schultz, M. SIAM Journal on Numerical Analysis 1969 6:2, 161-183 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 44174 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 06 Mar 2014 18:31 | |||||||||
| Last Modified: | 10 Nov 2021 16:48 |
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