Accession Number : AD0764145

Title :   Bivariate Spline Functions and the Approximation of Linear Functionals.

Descriptive Note : Technical rept.,

Corporate Author : ARIZONA STATE UNIV TEMPE DEPT OF MATHEMATICS

Personal Author(s) : Nielson,Gregory M.

Report Date : 10 JUL 1973

Pagination or Media Count : 50

Abstract : The reproducing kernel for a Hilbert space of bivariate functions which have Taylor expansions is constructed. The concepts of optimal approximation of linear functionals in the sense of Sard and approximations resulting from bivariate spline functions are shown to be equivalent in these spaces. Bivariate splines that both smooth and interpolate are discussed. (Author)

Descriptors :   (*APPROXIMATION(MATHEMATICS), FUNCTIONS(MATHEMATICS)), HILBERT SPACE, INTERPOLATION, SET THEORY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE