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 b...

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Bibliographic Details
Main Author: Tuen, Tuen
Other Authors: Davis, Joel
Language:en_US
Published: 2013
Subjects:
Online Access:http://hdl.handle.net/1957/37537