I-UNIFORM CONTINUITY AND I-UNIFORM BOUNDEDNESS OF A FUNCTION

被引：0
|
作者：
Ghosal, Sanjoy [1 ]
机构：
[1] Kalyani Govt Engn Coll, Fac Sci, Dept Math, Kalyani 741235, W Bengal, India
来源：
DEMONSTRATIO MATHEMATICA | 2012年 / 45卷 / 04期
关键词：
ideals; filter; I-uniform convergence; I-uniform continuity; I-uniform boundedness;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The concepts of I-convergence and I-Cauchy condition are a generalization of statistical convergence and statistical Cauchy conditions and are dependent on the notion of the ideal I of subsets of the set N of positive integers. In this paper, we shall introduce two new notions of I-uniform continuity and I-uniform boundedness of a function with values in R or in a metric space and then study their basic properties.
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页码：887 / 894
页数：8
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