A generalized statistical convergence via ideals

作者：Savas Ekrem; Das Pratulananda^*

来源：Applied Mathematics Letters, 2011, 24(6): 826-830.

DOI：10.1016/j.aml.2010.12.022

• Ideal Filter
• I-statistical convergence
• I-lambda-statistical convergence
• I-vertical bar V,lambda vertical bar-summability
• Closed subspace

In this paper we make a new approach to the notions of vertical bar V,lambda vertical bar-summability and lambda-statistical convergence by using ideals and introduce new notions, namely, I-vertical bar V,lambda vertical bar-summability and I-lambda-statistical convergence. We mainly examine the relation between these two new methods as also the relation between I-lambda-statistical convergence and I-statistical convergence introduced by the authors recently. We carry out the whole investigation in normed linear spaces.

• 出版日期2011-6