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Lacunary statistical convergence of rough triple sequence via ideals

Mehmet Gürdal

Department of Mathematics, Suleyman Demirel University, 32260 Isparta, Turkey

E-mail Address: [email protected]

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Emel Kaya

Department of Mathematics, Suleyman Demirel University, 32260 Isparta, Turkey

E-mail Address: [email protected]

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, and

Ekrem Savaş

Department of Mathematics, Uşak University, 64000 Uşak, Turkey

E-mail Address: [email protected]

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https://doi.org/10.1142/S1793557123501322Cited by:0 (Source: Crossref)

Abstract

In this paper, we have introduced the notion of the lacunary $ℐ$ -statistical convergence of triple sequences for rough variables. In addition, we have defined lacunary $ℐ$ -statistical Cauchy sequence of rough variables in trust space and given the lacunary $ℐ$ -statistical completeness for trust space. Some important results have also been examined.

Communicated by I. Inam

Keywords:

AMSC: 40A35, 03E72

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