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.

引用

页码：1613 / 1621

页数：9

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