Approximation in variation by the Meyer-Konig and Zeller operators

被引：5
|
作者：
Kivinukk, Andi [1 ]
Metsmaegi, Tarmo [1 ]
机构：
[1] Tallinn Univ, Inst Math & Nat Sci, EE-10120 Tallinn, Estonia
来源：
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2011年 / 60卷 / 02期
关键词：
approximation theory; Meyer-Konig and Zeller operators; functions of bounded variation; convergence in variation;
D O I：
10.3176/proc.2011.2.03
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The convergence in variation and the rate of approximation of the Meyer-Konig and Zeller operators are discussed. It is proved that for absolutely continuous functions the rate of approximation can be estimated via the total variation.
引用
收藏
页码：88 / 97
页数：10
相关论文
共 50 条
12345