Approximation in variation by the Meyer-König and Zeller operators

Proceedings of the Estonian Academy of Sciences

Tarmo Metsmägi¹  Andi Kivinukk¹ 

[1] $$

关键词: approximation theory;    Meyer-König and Zeller operators;    functions of bounded variation;    convergence in variation;   

DOI  :  10.3176/proc.2011.2.03

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

The convergence in variation and the rate of approximation of the Meyer-König and Zeller operators are discussed. It is proved that for absolutely continuous functions the rate of approximation can be estimated via the total variation.

【 授权许可】

Unknown