Publication:
On the computation of optimal approximations in Sard corner spaces

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Authors
Franke, Richard H.
Subjects
Optimal Approximation
Multivariate Interpolation
Sard spaces
Advisors
Date of Issue
1976
Date
July - September 1976
Publisher
Monterey, California. Naval Postgraduate School
Language
eng
Abstract
The subject of linear optimal approximation has received considerable attention in recent years [4], [5], [6], [7], [8]. The subject of multivariate approximation for scattered data, including optimal approximations, is reviewed in [9]. The idea is appealing since the optimal approximation in a certain space of functions minimizes the norm of the error functional for approximations in that space. When the space is a Hilbert space, the computation of optimal approximations becomes rather simple, in theory [2]. A known reproducing kernel function provides the representers of linear functional s defined on the space. The optimal approximation satisfies the system of equations obtained by requiring that the approximation be exact for the representers of the functional s being used for the approximation, usually point evaluation functionals.
Type
Technical Report
Description
Series/Report No
Department
Identifiers
NPS Report Number
NPS-53Fe76121
Sponsors
supported by the Foundation Research Program of the Naval Postgraduate School with funds provided by the Chief of Naval Research
Funder
N0007476WR60052
Format
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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