On the lacunary $(A, ϕ)$ -statistical convergence of double sequences
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 lacu...
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| Datum: | 2018 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2018
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1599 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | 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. |
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