Accession Number : AD0696321

Title :   SOME RESULTS ON TCHEBYCHEFFIAN SPLINE FUNCTIONS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Kimeldorf,George S. ; Wahba,Grace

Report Date : FEB 1969

Pagination or Media Count : 22

Abstract : The report derives explicit solutions to problems involving Tchebycheffian spline functions. A reproducing kernel Hilbert space is used which depends on the smoothness criterion, but not on the form of the data, to solve explicitly Hermite-Birkhoff interpolation and smoothing problems. Sard's best approximation to linear functionals and smoothing with respect to linear inequality constraints are also discussed. (Author)

Descriptors :   (*POLYNOMIALS, *INTERPOLATION), APPROXIMATION(MATHEMATICS), QUADRATIC PROGRAMMING, DIFFERENTIAL EQUATIONS, STOCHASTIC PROCESSES, HILBERT SPACE, INEQUALITIES, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE