Journal of inequalities and applications | |
On some spaces of almost lacunary convergent sequences derived by Riesz mean and weighted almost lacunary statistical convergence in a real n -normed space | |
Ş1  | |
关键词: Riesz mean; weighted lacunary statistical convergence; almost convergence; lacunary sequence; n-norm; | |
DOI : 10.1186/1029-242X-2014-81 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
In this paper, we introduce some new spaces of almost convergent sequences derived by Riesz mean and the lacunary sequence in a real n-normed space. By combining the definitions of lacunary sequence and Riesz mean, we obtain a new concept of statistical convergence which will be called weighted almost lacunary statistical convergence in a real n-normed space. We examine some connections between this notion with the concept of almost lacunary statistical convergence and weighted almost statistical convergence, where the base space is a real n-normed space. MSC:40C05, 40A35, 46A45, 40A05, 40F05.
【 授权许可】
CC BY
【 预 览 】
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