Uniqueness of simultaneous approximations in continuous function spaces

The present work is concerned with the uniqueness problem of best simultaneous approximation. An n -dimensional l 1 - or l ∞ -simultaneous unicity space is characterized in terms of Property A.

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Bibliographic Details
Published in:Applied mathematics letters Vol. 21; no. 4; pp. 383 - 387
Main Authors: Peng, Lihui, Li, Chong
Format: Journal Article
Language:English
Published: Oxford Elsevier Ltd 01.04.2008
Elsevier
Subjects:
Continuous function spaces
Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Property A
Real functions
Sciences and techniques of general use
Simultaneous approximation
Unicity space
Uniqueness
Simultaneous approximation
Property A
Unicity space
Uniqueness
Continuous function spaces
Approximation
Applied mathematics
Best approximation
Continuous function
ISSN:0893-9659, 1873-5452
Online Access:Get full text
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Description
Summary:The present work is concerned with the uniqueness problem of best simultaneous approximation. An n -dimensional l 1 - or l ∞ -simultaneous unicity space is characterized in terms of Property A.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2007.05.009