Statistical rates on the multivariate approximation theory

被引:41
作者
Duman, Oktay
Erkus, Esra [1 ]
Gupta, Vijay
机构
[1] Canakkale Onsekiz Mart Univ, Fac Sci & Arts, Dept Math, TR-17020 Canakkale, Turkey
[2] TOBB Univ Econ & Technol, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey
[3] Netaji Subhas Inst Technol, Sch Appl Sci, New Delhi 110075, India
关键词
A-statistical convergence; positive linear operators; statistical rates; modulus of continuity; the Korovkin theorem;
D O I
10.1016/j.mcm.2006.02.009
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Statistical rates of approximations by means of positive linear operators defined on the space of multivariate continuous functions are studied. Furthermore, displaying an example, it is shown that our statistical rates are more efficient than the classical aspects in the approximation theory. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:763 / 770
页数:8
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