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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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On the uniqueness of best $L_{2}[0, 1]$ approximation by piecewise polynomials with variable breakpoints
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by Jeff Chow PDF
Math. Comp. 39 (1982), 571-585 Request permission


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
  • © Copyright 1982 American Mathematical Society
  • Journal: Math. Comp. 39 (1982), 571-585
  • MSC: Primary 41A15
  • DOI:
  • MathSciNet review: 669650