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

页码：1491 / 1504

页数：14

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