SOME RESULTS ON TCHEBYCHEFFIAN SPLINE FUNCTIONS.

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)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1969
Accession Number
AD0696321

Entities

People

  • George S. Kimeldorf
  • Grace Wahba

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Hilbert Space
  • Inequalities
  • Interpolation
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.

Technology Areas

  • Space