Lacunary Δ-statistical convergence in intuitionistic fuzzy n -normed space

Journal of inequalities and applications

Selma Altundağ¹ 

关键词: statistical convergence;    lacunary sequence;    difference sequence;    intuitionistic fuzzy n-normed space;   

DOI  :  10.1186/1029-242X-2014-40

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The concept of lacunary statistical convergence was introduced in intuitionistic fuzzy n-normed spaces in Sen and Debnath (Math. Comput. Model. 54:2978-2985, 2011). In this article, we introduce the notion of lacunary Δ-statistically convergent and lacunary Δ-statistically Cauchy sequences in an intuitionistic fuzzy n-normed space. Also, we give their properties using lacunary density and prove relation between these notions. MSC:47H10, 54H25.

【 授权许可】

CC BY