On Spline Functions Determined by Singular Self-Adjoint Differential Operators.

Abstract

Spline functions are shown to exist minimizing the quadratic functional B(u,u) with associated self-adjoint, possibly singular, Euler operator Lambda. The singularity of Lambda is restricted by the hypothesis that the reciprocal of the leading coefficient be integrable and finite-valued at interior points. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1971
Accession Number
AD0732048

Entities

People

  • John Pierce
  • Joseph Jerome

Organizations

  • University of Wisconsin–Madison

Tags

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Statistical inference.