ON Iλ-STATISTICAL CONVERGENCE IN LOCALLY SOLID RIESZ lSPACES

被引：4
|
作者：
Das, Pratulananda [1 ]
Savas, Ekrem [2 ]
机构：
[1] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India
[2] Istanbul Ticaret Univ, Dept Math, Sutluce Istanbul, Turkey
来源：
MATHEMATICA SLOVACA | 2015年 / 65卷 / 06期
关键词：
ideal; filter; I-statistical-tau-convergence; I-lambda-statistical-tau-convergence; I-lambda-statistical-tau-boundedness; I-lambda-statistical-tau-Cauchy condition; I-lambda-statistical-tau-continuity; ASTERISK-CONVERGENCE; THEOREMS; SUMMABILITY; SEQUENCES; RESPECT; SPACES; LIMIT;
D O I：
10.1515/ms-2015-0101
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we extend some results concerning statistical convergence in locally solid Riesz spaces by introducing a more general idea of convergence, namely I-lambda-statistical convergence. We investigate the ideas of I-lambda-statistical-t-convergence, I-lambda-statistical-tau-boundedness and I-lambda-statistical-tau-Cauchy condition of sequences in a locally solid Riesz space endowed with a topology t and investigate some of their consequences. (C) 2015 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码：1491 / 1504
页数：14
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