Volume 3,  Issue 2, 2002

Article 24

SOME RESULTS CONCERNING BEST UNIFORM COAPPROXIMATION

GEETHA S. RAO AND R. SARAVANAN

RAMANUJAN INSTITUTE FOR ADVANCED STUDY IN MATHEMATICS
UNIVERSITY OF MADRAS 
MADRAS - 600 005 
INDIA
 E-Mail: geetha_srao@yahoo.com

DEPARTMENT OF MATHEMATICS,
VELLORE INSTITUTE OF TECHNOLOGY
VELLORE 632 014, INDIA.

Received 19 December, 2000; accepted 5 December, 2001.
Communicated by: S.S. Dragomir

ABSTRACT.   This paper provides some conditions to obtain best uniform coapproximation. Some error estimates are determined. A relation between interpolation and best uniform coapproximation is exhibited. Continuity properties of selection for the metric projection and the cometric projection are studied.
Key words:
Best approximation, Best coapproximation, Chebychev space, Cometric projection, Interpolation, Metric projection, Selection, Weak Chebychev space.

2000 Mathematics Subject Classification:
41A17, 41A50, 41A99.

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