Regular operator approximation theory

Philip Marshall Anselone and Mike Treuden

Vol. 120 (1985), No. 2, 257–268

DOI: 10.2140/pjm.1985.120.257

Abstract

Regular operator approximation theory applies to finite difference approximations for differential equations and numerical integration approximations for integral equations. New relationships and efficient derivations of known results are presented. The analysis is based on the systematic use of convergence and compactness properties of sequences of sets. Since the purpose is theoretical, applications are merely indicated and references are cited.

Mathematical Subject Classification 2000

Primary: 47A50

Secondary: 65J10

Milestones

Received: 31 January 1984

Published: 1 December 1985