| 书目名称 | Nonlinear Approximation Theory |
| 编辑 | Dietrich Braess |
| 视频video | |
| 丛书名称 | Springer Series in Computational Mathematics |
| 图书封面 |  |
| 描述 | The first investigations of nonlinear approximation problems were made by P.L. Chebyshev in the last century, and the entire theory of uniform approxima tion is strongly connected with his name. By making use of his ideas, the theories of best uniform approximation by rational functions and by polynomials were developed over the years in an almost unified framework. The difference between linear and rational approximation and its implications first became apparent in the 1960‘s. At roughly the same time other approaches to nonlinear approximation were also developed. The use of new tools, such as nonlinear functional analysis and topological methods, showed that linearization is not sufficient for a complete treatment of nonlinear families. In particular, the application of global analysis and the consideration of flows on the family of approximating functions intro duced ideas which were previously unknown in approximation theory. These were and still are important in many branchesof analysis. On the other hand, methods developed for nonlinear approximation prob lems can often be successfully applied to problems which belong to or arise from linear approximation. An important e |
| 出版日期 | Book 1986 |
| 关键词 | Approximation; Interpolation; approximation theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-61609-9 |
| isbn_softcover | 978-3-642-64883-0 |
| isbn_ebook | 978-3-642-61609-9Series ISSN 0179-3632 Series E-ISSN 2198-3712 |
| issn_series | 0179-3632 |
| copyright | Springer-Verlag Berlin Heidelberg 1986 |
发表于 2025-3-21 18:55:29
