Characterization of the best approximations by classic cubic splines Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/6395w9478

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  • 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).
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