Accession Number : AD0681401

Title :   AN IDENTITY FOR SPLINE FUNCTIONS WITH APPLICATIONS TO VARIATION DIMINISHING SPLINE APPROXIMATION.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Marsden,Martin J.

Report Date : JUN 1968

Pagination or Media Count : 77

Abstract : A spline function identity is developed and used to discuss the convergence properties of Schoenberg's variation diminishing spline approximation method. The Weierstrass approximation theorem is extended. Similar results for Chebshevian splines are developed. (Author)

Descriptors :   (*FUNCTIONS(MATHEMATICS), *APPROXIMATION(MATHEMATICS)), POLYNOMIALS, CONVERGENCE, THEOREMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE