Regularly ideal invariant convergence of double sequences

Autor: Nimet Pancaroǧlu Akın
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-15 (2021)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-021-02664-1
Popis: Abstract In this paper, we introduce the notions of regularly invariant convergence, regularly strongly invariant convergence, regularly p-strongly invariant convergence, regularly ( I σ , I 2 σ ) $(\mathcal{I}_{\sigma },\mathcal{I}^{\sigma }_{2})$ -convergence, regularly ( I σ ∗ , I 2 σ ∗ ) $(\mathcal{I}_{\sigma }^{*},\mathcal{I}^{\sigma *}_{2})$ -convergence, regularly ( I σ , I 2 σ ) $(\mathcal{I}_{\sigma },\mathcal{I}^{\sigma }_{2} )$ -Cauchy double sequence, regularly ( I σ ∗ , I 2 σ ∗ ) $(\mathcal{I}_{\sigma }^{*},\mathcal{I}^{\sigma *}_{2})$ -Cauchy double sequence and investigate the relationship among them.
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