Approximation via statistical relative uniform convergence of sequences of functions at a point with respect to power series method

被引:4
作者
Demirci, Kamil [1 ]
Dirik, Fadime [1 ]
Yildiz, Sevda [1 ]
机构
[1] Sinop Univ, Dept Math, TR-57000 Sinop, Turkiye
关键词
Power series method; Statistical convergence; Korovkin theorem; Positive linear operator; KOROVKIN-TYPE APPROXIMATION; POSITIVE LINEAR-OPERATORS; THEOREMS;
D O I
10.1007/s13370-023-01078-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper, we generalize the notion of P-statistical convergence and we first define the notion of P-statistical relative uniform convergence of sequences of functions at a point. We demonstrate an approximation theorem for a sequence of functions. Also, we give an example, showing that our result is strict generalization of the corresponding classical ones. In the final section, we study the rates of convergence.
引用
收藏
页数:10
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