书目名称 | Ordered Cones and Approximation |
编辑 | Klaus Keimel,Walter Roth |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | This book presents a unified approach to Korovkin-typeapproximationtheorems. It includes classical material onthe approximation of real-valuedfunctions as well as recentand new results on set-valued functions and stochasticprocesses, and on weighted approximation. The results arenotonly of qualitative nature, but include quantitativebounds on the order of approximation.The book is addressed to researchers in functional analysisand approximation theory as well as to those that want toapplythese methods in other fields. It is largely self-contained, but the readershould have a solid background inabstract functional analysis.The unified approach is based on a new notion of locallyconvex ordered cones that are not embeddable in vectorspaces but allow Hahn-Banach type separation and extensiontheorems. This concept seems to be of independentinterest. |
出版日期 | Book 1992 |
关键词 | Locally Convex Cones; Ordered Cones; Vector space; approximation; approximation theory; boundary element |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0089190 |
isbn_softcover | 978-3-540-55445-5 |
isbn_ebook | 978-3-540-47079-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1992 |