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The Theory of Best Approximation and Functional Analysis

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Results and problems in the modern theory of best approximation, in which the methods of functional analysis are applied in a consequent manner. This modern theory constitutes both a unified foundation for the classical theory of best approximation and a powerful tool for obtaining new results.

Author(s): Ivan Singer
Series: Regional Conference Series in Applied Mathematics - Vol 13
Edition: SIAM
Publisher: Society for Industrial and Applied Mathematics
Year: 1987

Language: English
Pages: 105

THE THEORY OF BEST APPROXIMATION AND FUNCTIONAL ANALYSIS......Page 1
Contents......Page 5
Preface......Page 7
1.Characterizations of elements of best approximation.......Page 11
2. Existence of elements of best approximation.......Page 20
3. Uniqueness of elements of best approximation.......Page 34
4. Properties of metric projections.......Page 49
5. Best approximation by elements of nonlinear sets.......Page 75
REFERENCES......Page 95