Accession Number : AD0743791

Title :   Cardinal Interpolation and Spline Functions. VII. The Behavior of Cardinal Spline Interpolants as Their Degree Tends to Infinity.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Schoenberg,I. J.

Report Date : DEC 1971

Pagination or Media Count : 25

Abstract : Conditions are studied which insure that the cardinal spline interpolant (S sub m)(x), of degree 2m-1, of a function F(x), converges to F(x) as m approaches infinity. (Author)

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

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE