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Characterization of the best approximations by classic cubic splines

This study deals specifically with classical cubic splines. Based on
a lemma of John Rice, best approximation in the uniform norm by
cubic splines is explored. The purpose of this study is to
characterize the best approximation to a given continuous function
f(x) by a cubic spline with fixed knots by counting alternating
extreme points of its error function E(t). / Graduation date: 1991

Identiferoai:union.ndltd.org:ORGSU/oai:ir.library.oregonstate.edu:1957/37537
Date06 July 1990
CreatorsTuen, Tuen
ContributorsDavis, Joel
Source SetsOregon State University
Languageen_US
Detected LanguageEnglish
TypeThesis/Dissertation

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