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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

On the uniqueness of best $ L\sb{2}[0,\,1]$ approximation by piecewise polynomials with variable breakpoints


Author: Jeff Chow
Journal: Math. Comp. 39 (1982), 571-585
MSC: Primary 41A15
MathSciNet review: 669650
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Abstract: In this paper a sufficient condition for the uniqueness of best $ {L_2}[0,1]$ approximation by piecewise polynomials of order k with variable breakpoints is generalized from that of order 2. Other extensions included here are nonuniqueness and eventual uniqueness results.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1982-0669650-9
PII: S 0025-5718(1982)0669650-9
Article copyright: © Copyright 1982 American Mathematical Society