A Note on the Optimality of Generalized Interpolating Splines.

Abstract

The purpose of the note is to prove the optimality of generalized interpolating splines for operators. For this reason the author will generalize the well-known duality theorem for functionals to the case of linear operators. The idea of using duality theorems in order to prove the optimality of a certain approximation was inspired by Jean Meinguet's papers. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1974
Accession Number
AD0778453

Entities

People

  • Marie-jeanne Munteau

Organizations

  • University of Maryland, Baltimore

Tags

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Military History of the United States in the 20th Century.