Original Articles

A GENERAL CHARACTERIZATION OF BEST RESTRICTED RANGE APPROXIMATIONS

Published in: Quaestiones Mathematicae
Volume 20 , issue 2, pages: 157–184
DOI: 10.1080/16073606.1997.9632001
Author(s): Jun ZhongDepartment of Mathematics, ,
Keywords: 41A29, 41A50, 41A65,
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Abstract

A general characterization of best restricted range approximations is established under an arbitrary norm on C [a, b]. Consequently, many previous characterizations of various best constrained approximations can be treated as special cases of this general characterization theorem.
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