Abstract
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.
Reference30 articles.
1. "[1] F. Aiche and D. Dubois, Possibility and gradual number approaches to ranking methods for random fuzzy intervals, Commun. Comput. Inf. Sci. 299 (2012), 9-18. https://doi.org/10.1007/978-3-642-31718-7_2
2. [2] C. Choudhury and S. Debnath, On I-convergence of sequences in gradual normed linear spaces, Facta Univ. Ser. Math. Inform. 36 (2021), no. 3, 595-604. https://doi.org/10.22190/FUMI210108044C
3. [3] J. Connor, The statistical and strong p-Cesaro convergence of sequences, Analysis 8 (1988), no. 1-2, 47-63.
4. [4] D. Dubois and H. Prade, Gradual elements in a fuzzy set, Soft Comput. 12 (2007), no. 2, 165-175. https://doi.org/10.1007/s00500-007-0187-6
5. [5] A. Esi and M. Acikgoz, On some double lacunary strong Zweier convergent sequence spaces, An. Univ. Craiova Ser. Mat. Inform. 40 (2013), no. 2, 121-127.
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献