Statistical fuzzy approximation by fuzzy positive linear operators
- 作者：George A. Anastassiou ; Oktay Duman
- 关键词：Statistical convergence ; Statistical rates ; Fuzzy positive linear operators ; Fuzzy Korovkin theory ; Fuzzy modulus of continuity
- 刊名：Computers and Mathematics with Applications
- 出版年：2008
- 期刊代码：37_08981221
- 类别：cp
- 出版时间：February 2008
- 卷：55
- 期：3
- 页码：573-580
- 文件大小：207 K
摘要
In this paper, we prove a Korovkin-type approximation theorem for fuzzy positive linear operators by using the notion of A-statistical convergence, where A is a non-negative regular summability matrix. This type of approximation enables us to obtain more powerful results than in the classical aspects of approximation theory settings. An application of this result is also given. Furthermore, we compute the rates of this statistical fuzzy convergence of the operators via the fuzzy modulus of continuity.