On lacunary statistical convergence of sequences in gradual normed spaces

Universitatea din Craiova. Analele. Seria: Matematica, Informatica

article

Chiranjib Choudhury¹  Shyamal Debnath¹ 

[1] Tripura University

关键词: Gradual number;    gradual normed linear spaces;    lacunary sequence;    statistical convergence;    lacunary statistical convergence;   

DOI  :  10.52846/ami.v49i1.1518

学科分类：社会科学、人文和艺术（综合）

来源: Universitatea din Craiova / University of Craiova

【 摘 要 】

In this paper, we introduce and investigate the notion of lacunary statistical convergence of sequences in gradual normed linear spaces. We study some of its basic properties and some inclusion relations. In the end, we introduce the notion of lacunary statistical Cauchy sequences and prove that it is equivalent to the notion of lacunary statistical convergence.

【 授权许可】

Unknown