株式会社極東書店トップ ＞ 商品一覧 ＞ Topics in Uniform Approximation of Continuous Functions. 1st ed. 2020.
商品詳細
Topics in Uniform Approximation of Continuous Functions. 1st ed. 2020.
・ISBN 978-3-030-48411-8 paper EUR 54.99
￥14,698.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
| 著者・編者 | Bucur, Ileana / Paltineanu, Gavriil, |
|---|---|
| シリーズ | Frontiers in Mathematics |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2020 |
| ページ数 | 140 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-16557＞ |
解説
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.