A Korovkin type approximation theorems via I-convergence

被引：0
|
作者：
Duman, O. [1 ]
机构：
[1] TOBB Univ Econ & Technol, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2007年 / 57卷 / 01期
关键词：
I-convergence; positive linear operator; the classical Korovkin theorem;
D O I：
10.1007/s10587-007-0065-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using the concept of I-convergence we provide a Korovkin type approximation theorem by means of positive linear operators defined on an appropriate weighted space given with any interval of the real line. We also study rates of convergence by means of the modulus of continuity and the elements of the Lipschitz class.
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页码：367 / 375
页数：9
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