Original Articles

A GENERAL CHARACTERIZATION OF BEST RESTRICTED RANGE APPROXIMATIONS

Published in: Quaestiones Mathematicae
Volume 20 , issue 2 , 1997 , pages: 157–184

DOI: 10.1080/16073606.1997.9632001

Author(s): Jun Zhong Department of Mathematics,

Keywords: 41A29 , 41A50 , 41A65

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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