Methods for Constructing Combined Smoothing and Interpolating Spline Functions.

Abstract

A characterization of spline functions that combines interpolation and smoothing is presented. This characterization forms the basis of two methods for constructing these spline functions. The first method deals only with smoothing splines and is described for the case of Hermite-Birkhoff functionals. The second, which incorporates the first, applies to the combined problem and is described for the case of point evaluation functionals. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1973
Accession Number
AD0767024

Entities

People

  • Gregory M. Nielson

Organizations

  • Arizona State University

Tags

DTIC Thesaurus Topics

  • Interpolation
  • Mathematical Analysis
  • Mathematics
  • Test And Evaluation

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.