Rates of A-statistical convergence of operators in the space of locally integrable functions

被引:20
作者
Duman, O. [1 ]
Orhan, C. [2 ]
机构
[1] TOBB Econ & Technol Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey
[2] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
关键词
A-density; A-statistical convergence; sequence of positive linear operators; locally integrable function; modulus of continuity; the Korovkin approximation theorem;
D O I
10.1016/j.aml.2007.05.017
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Motivated by Our earlier work on the statistical approximation of locally integrable functions by positive linear operators, we Study rates of A-statistical convergence of a sequence of positive linear operators acting on the space of locally integrable functions. In particular, we obtain rates of ordinary convergence of the sequence of these operators. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:431 / 435
页数:5
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