| 书目名称 | Hyperbolic Cross Approximation |
| 编辑 | Dinh Dũng,Vladimir Temlyakov,Tino Ullrich,Sergey T |
| 视频video | |
| 概述 | Covers both classical results from the 1960s and very recent results on high-dimensional approximation.Contains a number of short illustrative proofs.Provides the first comprehensive survey on hyperbo |
| 丛书名称 | Advanced Courses in Mathematics - CRM Barcelona |
| 图书封面 |  |
| 描述 | .This book provides a systematic survey of classical and recent results on hyperbolic cross approximation.. Motivated by numerous applications, the last two decades have seen great success in studying multivariate approximation. Multivariate problems have proven to be considerably more difficult than their univariate counterparts, and recent findings have established that multivariate mixed smoothness classes play a fundamental role in high-dimensional approximation. The book presents essential findings on and discussions of linear and nonlinear approximations of the mixed smoothness classes. Many of the important open problems explored here will provide both students and professionals with inspirations for further research.. |
| 出版日期 | Textbook 2018 |
| 关键词 | hyperbolic cross; sparse grid; mixed smoothness; trigonometric polynomial; linear approximation; Kolmogor |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-92240-9 |
| isbn_softcover | 978-3-319-92239-3 |
| isbn_ebook | 978-3-319-92240-9Series ISSN 2297-0304 Series E-ISSN 2297-0312 |
| issn_series | 2297-0304 |
| copyright | Springer Nature Switzerland AG 2018 |
发表于 2025-3-21 17:28:17
