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Published June 1969 | Published
Journal Article Open

L∞-Multivariate approximation theory

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.

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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August 19, 2023
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