Degree of uniform approximation on disjoint intervals

Charles Kam-Tai Chui and Maurice Hasson

Vol. 105 (1983), No. 2, 291–297

DOI: 10.2140/pjm.1983.105.291

Abstract

In this note, the problem of degree of uniform approximation by polynomials on disjoint intervals is considered. It is interesting to note that the error estimates cannot be obtained by extending the given functions to functions on a single interval and applying the one-interval estimates.

Mathematical Subject Classification 2000

Primary: 41A25

Secondary: 41A10

Milestones

Received: 30 May 1980

Published: 1 April 1983