ON CONSTRUCTIVE ONE-SIDED APPROXIMATION OF MULTIVARIATE FUNCTIONS OF BOUNDED VARIATION

被引：3
|
作者：
LENZE, B [1 ]
机构：
[1] FERNUNIVGESAMTHSCH HAGEN,FACHBEREICH MATH & INFORMAT,W-5800 HAGEN,GERMANY
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1990年 / 11卷 / 1-2期
关键词：
D O I：
10.1080/01630569008816361
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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. © 1990, Taylor & Francis Group, LLC. All rights reserved.
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页码：55 / 83
页数：29
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