APPROXIMATION BY CUBIC SPLINE WITH RESPECT TO EUCLIDEAN NORM,

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Abstract:

The use of a cubic spline function for an interpolation procedure has produced very good results in approximation of derivatives of functions represented by smooth data. If one attempts to construct a cubic spline function for a set of data which contains round off error, this property may be lost. In this paper a smoothing procedure is developed by finding the best cubic spline function, that is, over the class of cubic spline functions, we will determine the one which minimizes the Euclidean norm. Author

Author(s):
Schlegel, Palmer R.
Author Organization(s):
BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD
Pagination:
0016

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
BRL-1465
Project Number(s):
RDT/E-1-T-061102-A-14-B
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*FUNCTIONS(MATHEMATICS), *APPROXIMATION(MATHEMATICS)), CURVE FITTING, INTERPOLATION, ALGORITHMS, THEOREMS
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
*SPLINE FUNCTIONS, *SPLINE INTERPOLATION
Report Date:
1970 Jan 01