Meyer-KnigandZeller算子的保形问题 On Shape Preserving of Meyer-Knig and Zeller Operators期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Meyer-KnigandZeller算子的保形问题

引用本文：	张春苟.Meyer-KnigandZeller算子的保形问题[J].数学的实践与认识,2005(3).

作者姓名：	张春苟

作者单位：	首都师范大学数学系北京100037

基金项目：	国家自然科学基金资助项目 (1 0 3 71 0 80 )，北京市教委资助项目

摘要：	讨论了 Meyer-Knig and Zeller算子的保形逼近问题 ,我们用基于算子特殊结构的分析方法得到了该算子的保单调性 .保凸性以及保形逆定理等保形性质 .
关键词：	Meyer-Knig and Zeller算子保形逼近保形逆定理
On Shape Preserving of Meyer-Knig and Zeller Operators

ZHANG Chun-gou.On Shape Preserving of Meyer-Knig and Zeller Operators[J].Mathematics in Practice and Theory,2005(3).

Authors:	ZHANG Chun-gou

Abstract:	In this paper, properties of shape preserving for Meyer-Konig and Zeller Operators are considered, of which the monotonicity and convexity preserving as well as the inverse theorem of shape preserving are obtained by analytical method clopend on the special construct of the operators.

Keywords:	Meyer-Knig and Zeller operators preserving shape approximation inverse theorem of shape preserving
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