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L∞-Multivariate approximation theory

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.

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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.

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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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Westinghouse Research LaboratoriesUNSPECIFIED
Issue or Number:2
Record Number:CaltechAUTHORS:20140306-100951563
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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
Deposited By: Ruth Sustaita
Deposited On:06 Mar 2014 18:31
Last Modified:10 Nov 2021 16:48

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