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On constructive one-sided approximation of multivariate functions of bounded variation

 

作者: Burkhard Lenze,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1990）
卷期: Volume 11, issue 1-2  

页码: 55-83

 

ISSN:0163-0563

 

年代: 1990

 

DOI:10.1080/01630569008816361

 

出版商: Marcel Dekker, Inc.

 

关键词: AMS (MOS) classification: 41A29;AMS (MOS) classification: 41A35;AMS (MOS) classification: 41A63;one-sided multivariate approximation;multivariate functions of bounded variation;Lebesgue-Stieltjes measure;integral;convolution;approximation of continuous pi

 

数据来源: Taylor

 

摘要:

In this paper we present a constructive strategy for one-sided approximation of multivariate functions of bounded variation. The approach is based on a special kind of Lebesgue-Stieltjes convolution operator depending on a hyperbolic argument. We prove local, global, and saturation-type results and, finally, take a look at the applicability of the new operators.

 

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