Accession Number:

ADA125002

Title:

ON THE Relationship between Functions with the Same Optimal Knots in Spline with Piecewise Polynomial Approximation.

Descriptive Note:

Technical rept.,

Corporate Author:

SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS

Personal Author(s):

Report Date:

1982-10-01

Pagination or Media Count:

9.0

Abstract:

The relationship between functions with the same optimal knows for L sub 2 0,1 approximation by k-th order splines or piecewise polynomials is investigated. It is shown that, if two functions have positive continuous k-th derivatives, they will have the same optimal knots if and only if they differ by a polynomial of order k. An application to design selection for continuous time regression is considered and extensions to L sub p approximation are also provided. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE