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
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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