DENSITY BY MODULI AND STATISTICAL CONVERGENCE

被引：80

作者：

Aizpuru, A. ^{[1
]}

Listan-Garcia, M. C. ^{[1
]}

Rambla-Barreno, F. ^{[1
]}

机构：

[1] Univ Cadiz, Dept Matemat, Puerto Real 11510, Cadiz, Spain

来源：

QUAESTIONES MATHEMATICAE | 2014年 / 37卷 / 04期

关键词：

Density; modulus function; statistical convergence; FK-SPACES;

D O I：

10.2989/16073606.2014.981683

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using modulus functions we introduce a new concept of density for sets of natural numbers. Consequently, we obtain a generalization of the notion of statistical convergence which is studied and characterized. As an application, we prove that the ordinary convergence is equivalent to the module statistical conver- gence for every unbounded modulus function.

引用

页码：525 / 530

页数：6

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