Tchebycheff Approximation and Related Extremal Problems

Abstract

One of the principal maneuvers available for proving existence theorems is to establish that the desired point is where a continuous real-valued function achieves an extremum on a compact set. If the extremum sought is an infimum, then the functional need only be lower semicontinuous. The crux of an existence proof along these lines would then be the definition of an appropriate topology in which the functional is lower semicontinuous and the set compact.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1963
Accession Number
AD0419063

Entities

People

  • A. A. Goldstein
  • E. W. Cheney

Organizations

  • Boeing

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Banach Space
  • Control Theory
  • Convex Programming
  • Convex Sets
  • Differential Equations
  • Equations
  • Government Procurement
  • Governments
  • Hilbert Space
  • Inequalities
  • Linear Differential Equations
  • Mathematics
  • Scientific Research
  • Sequences
  • Theorems
  • Topology

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Graph Algorithms and Convex Optimization.