Generalized Smoothing Spline Functions for Operators,

Abstract

The purpose of this note is to generalize spline smoothing functions in analogy with the recent generalization introduced by A. Sard for spline interpolating functions. Using Sard's method, the author discusses the property of best approximation of the spline functions and improves the error estimate. A practical example is given to illustrate the utility of smoothing splines for operators. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1971
Accession Number
AD0728220

Entities

People

  • Marie-jeanne Munteanu

Organizations

  • University of Texas at Austin

Tags

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.