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Mathematics of Computation

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



Error bounds for polynomial spline interpolation

Author: Martin H. Schultz
Journal: Math. Comp. 24 (1970), 507-515
MSC: Primary 41.30; Secondary 65.00
MathSciNet review: 0275025
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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].

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Keywords: Spline, interpolation, approximation
Article copyright: © Copyright 1970 American Mathematical Society