| 书目名称 | Topics in Uniform Approximation of Continuous Functions |
| 编辑 | Ileana Bucur,Gavriil Paltineanu |
| 视频video | |
| 概述 | Features compact and clearly presented proofs.Focuses on approximation theory, providing the key concepts needed to grasp the subject matter.Highlighting classic approximation results but also new wor |
| 丛书名称 | Frontiers in Mathematics |
| 图书封面 |  |
| 描述 | .This book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally convex lattice of (M) type. The most important generalizations of Weierstrass’ theorems obtained by Korovkin, Bohman, Stone, Bishop, and Von Neumann are also included..In turn, the book presents the approximation of continuous functions defined on a locally compact space (the functions from a weighted space) and that of continuous differentiable functions defined on ¡n. In closing, it highlights selected approximation theorems in locally convex lattices of (M) type..The book is intended for advanced and graduate students of mathematics, and can also serve as a resource for researchers in the field of the theory of functions.. |
| 出版日期 | Book 2020 |
| 关键词 | Weierstrass; approximation; algebraic polynomial; trigonometric polynomial; polynomial functions |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-48412-5 |
| isbn_softcover | 978-3-030-48411-8 |
| isbn_ebook | 978-3-030-48412-5Series ISSN 1660-8046 Series E-ISSN 1660-8054 |
| issn_series | 1660-8046 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 20:00:34
