Statistical Relatively Equal Convergence and Korovkin-Type Approximation Theorem

被引：7
|
作者：
Dirik, Fadime [1 ]
Sahin, Pinar Okcu [1 ]
机构：
[1] Sinop Univ, Fac Sci & Arts, Dept Math, TR-57000 Sinop, Turkey
来源：
RESULTS IN MATHEMATICS | 2017年 / 72卷 / 03期
关键词：
Statistical convergence; statistical relatively uniform convergence; Korovkin Theorem; modulus of continuity; UNIFORM-CONVERGENCE; IDEAL CONVERGENCE; SEQUENCES;
D O I：
10.1007/s00025-017-0706-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present work, we define a new type of statistical convergence by using the notion of the relatively uniform convergence. We prove a Korovkin-type approximation theorem with the help of this new definition. Then, we construct a strong example that satisfies our theory. Finally, we compute the rate of statistical relatively equal convergence.
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页码：1613 / 1621
页数：9
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