On Bounding Spline Interpolation.

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Abstract:

Upper and lower bounds for k-th order spline interpolation are obtained. Cubic spline interpolation at the averages of three successive knots is then shown to be bounded in the uniform norm independently of the knot sequence. Author

Author(s):
De Boor, Carl
Author Organization(s):
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0024

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-1378
Contract/Grant Number(s):
DA-31-124-ARO(D)-462
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*INTERPOLATION, *APPROXIMATION(MATHEMATICS), POLYNOMIALS, SPLINES, THEOREMS
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
*Spline interpolation
Report Date:
1973 Oct 01