| 书目名称 | Towards Intelligent Modeling: Statistical Approximation Theory |
| 编辑 | George A. Anastassiou,Oktay Duman |
| 视频video | |
| 概述 | First monograph in Statistical Approximation Theory and Fuzziness.Self-contained book including a lot of applications within the framework of Statistical Approximation as well as a complete list of re |
| 丛书名称 | Intelligent Systems Reference Library |
| 图书封面 |  |
| 描述 | .The main idea of statistical convergence is to demand convergence only for a majority of elements of a sequence. This method of convergence has been investigated in many fundamental areas of mathematics such as: measure theory, approximation theory, fuzzy logic theory, summability theory, and so on. In this monograph we consider this concept in approximating a function by linear operators, especially when the classical limit fails. The results of this book not only cover the classical and statistical approximation theory, but also are applied in the fuzzy logic via the fuzzy-valued operators. The authors in particular treat the important Korovkin approximation theory of positive linear operators in statistical and fuzzy sense. They also present various statistical approximation theorems for some specific real and complex-valued linear operators that are not positive. This is the first monograph in Statistical Approximation Theory and Fuzziness. The chapters are self-contained and several advanced courses can be taught..The research findings will be useful in various applications including applied and computational mathematics, stochastics, engineering, artificial intelligence, vis |
| 出版日期 | Book 2011 |
| 关键词 | Intelligent Modeling; Intelligent Systems; Statistical Approximation Theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-19826-7 |
| isbn_softcover | 978-3-642-26817-5 |
| isbn_ebook | 978-3-642-19826-7Series ISSN 1868-4394 Series E-ISSN 1868-4408 |
| issn_series | 1868-4394 |
| copyright | Springer Berlin Heidelberg 2011 |
发表于 2025-3-21 16:23:22
