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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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Error bounds for polynomial spline interpolation
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by Martin H. Schultz PDF
Math. Comp. 24 (1970), 507-515 Request permission

Abstract:

New upper and lower bounds for the ${L^2}$ and ${L^\infty }$ norms of derivatives of the error in polynomial spline interpolation are derived. These results improve corresponding results of Ahlberg, Nilson, and Walsh, cf. [1], and Schultz and Varga, cf. [5].
References
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Additional Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Math. Comp. 24 (1970), 507-515
  • MSC: Primary 41.30; Secondary 65.00
  • DOI: https://doi.org/10.1090/S0025-5718-1970-0275025-9
  • MathSciNet review: 0275025