On L[1]-approximation
著者
書誌事項
On L[1]-approximation
（Cambridge tracts in mathematics, 93）
Cambridge University Press, 2008
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注記
[1] is superscript
内容説明・目次
内容説明
This monograph is concerned with the qualitative theory of best L1-approximation from finite-dimensional subspaces. It presents a survey of recent research that extends 'classical' results concerned with best uniform approximation to the L1 case. The work is organized in such a way as to be useful for self-study or as a text for advanced courses. It begins with a basic introduction to the concepts of approximation theory before addressing one- or two-sided best approximation from finite-dimensional subspaces and approaches to the computation of these. At the end of each chapter is a series of exercises; these give the reader an opportunity to test understanding and also contain some theoretical digressions and extensions of the text.
目次
- Preface
- 1. Preliminaries
- 2. Approximation from finite-dimensional subspaces of L1
- 3. Approximation from finite-dimensional subspaces in C1 (K, )
- 4. Unicity subspaces and property A
- 5. One-sided L1-approximation
- 6. Discrete lm1 - approximation
- 7. Algorithms
- Appendices
- References
- Author index
- Subject index.
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