TWO KOROVKIN-TYPE THEOREMS IN MULTIVARIATE APPROXIMATION

被引：19

作者：

Guessab, Allal ^{[1
]}

Schmeisser, Gerhard ^{[2
]}

机构：

[1] Univ Pau & Pays Adour, Dept Appl Math, F-64000 Pau, France

[2] Univ Erlangen Nurnberg, Dept Math, D-91054 Erlangen, Germany

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2008年 / 2卷 / 02期

关键词：

Korovkin-type theorems; Positive linear operators; Convexity;

D O I：

10.15352/bjma/1240336298

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega be a compact convex subset of R(d) and let (L(n))(n is an element of N) be a sequence of positive linear operators that map C(Omega) into itself. We establish two Korovkin-type theorems in which the limit of the sequence of operators is not necessarily the identity.

引用

页码：121 / 128

页数：8

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