Accession Number : AD0715959

Title :   Rates of Convergence of L-Splines Which Interpolate H sub L - Functions.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Golomb,Michael

Report Date : MAR 1970

Pagination or Media Count : 28

Abstract : The precise asymptotic order (for n approaches infinity) of the error near a chosen point x sub * in the approximation of a function f sub * epsilon H sub L(I) by its L-spline interpolant f sub n at n points in I is determined. L is a differential operator of order m > or = 1. (Author)

Descriptors :   (*FUNCTIONS(MATHEMATICS), *APPROXIMATION(MATHEMATICS)), SET THEORY, ASYMPTOTIC SERIES, SEQUENCES(MATHEMATICS), CONVERGENCE, OPERATORS(MATHEMATICS), INTERPOLATION, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE