A generalized statistical convergence via ideals
Copyright policy )A generalized statistical convergence via ideals
The notion of \(\lambda\)-statistical convergence was introduced by \textit{Mursaleen} [Math. Slovaca 50, No.~1, 111--115 (2000; Zbl 0953.40002)] as an extension of the \([V, \lambda]\) summability of \textit{L. Leindler} [Publ. Math. 10, 274--282 (1964; Zbl 0129.05002)]. The authors introduce the concepts of \(I\)-\([V, \lambda]\)-summability and \(I\)-\(\lambda\)-statistical convergence by using ideals. They study the relation between these newly defined methods as well as the relation between \(I\)-\(\lambda\)-statistical convergence and \(I\)-statistical convergence.
- Istanbul Commerce University Turkey
- Jadavpur University India
I-?-statistical convergence, filter, I- [V,?]-summability, Filter, closed subspace, Applied Mathematics, ideal, Ideal, \(I\)-\(\lambda\)-statistical convergence, Ideal and statistical convergence, I−[V,λ]-summability, I−λ-statistical convergence, \(I\)-statistical convergence, \(I\)-\([V, \lambda]\)-summability, Closed subspace, I-statistical convergence
I-?-statistical convergence, filter, I- [V,?]-summability, Filter, closed subspace, Applied Mathematics, ideal, Ideal, \(I\)-\(\lambda\)-statistical convergence, Ideal and statistical convergence, I−[V,λ]-summability, I−λ-statistical convergence, \(I\)-statistical convergence, \(I\)-\([V, \lambda]\)-summability, Closed subspace, I-statistical convergence
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