On the Lacunary (A, φ)-Statistical Convergence of Double Sequences
Ukrainian Mathematical Journal, vol.70, no.6, pp.980-989, 2018 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 70 Issue: 6
- Publication Date: 2018
- Doi Number: 10.1007/s11253-018-1545-5
- Journal Name: Ukrainian Mathematical Journal
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.980-989
- Uşak University Affiliated: Yes
Abstract
We extend some results known from the literature for ordinary (single) sequences to multiple sequences of real numbers. Further, we introduce a concept of double lacunary strong (A, φ) -convergence with respect to a modulus function. In addition, we also study some relationships between double lacunary strong (A, φ) -convergence with respect to a modulus and double lacunary statistical convergence.