1986 | OriginalPaper | Chapter
Methods of Global Analysis
Author : Dr. Dietrich Braess
Published in: Nonlinear Approximation Theory
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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In the cases where the best approximation is not unique, information about the number of nearest points is desired. Statements on that number (even on the number of local solutions) are global results, in contrast with the characterization of local best approximations, which by definition refers to the behaviour in a neighborhood of the element under consideration.