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http://dx.doi.org/10.5831/HMJ.2021.43.2.343

ON ASYMPTOTICALLY LACUNARY STATISTICAL EQUIVALENT TRIPLE SEQUENCES VIA IDEALS AND ORLICZ FUNCTION  

Huban, Mualla Birgul (Isparta University of Applied Sciences)
Gurdal, Mehmet (Department of Mathematics, Suleyman Demirel University)
Bayturk, Hamza (Department of Mathematics, Suleyman Demirel University)
Publication Information
Honam Mathematical Journal / v.43, no.2, 2021 , pp. 343-357 More about this Journal
Abstract
In the present paper, we introduce the concepts of $\mathcal{I}$-asymptotically statistical $\tilde{\phi}$-equivalence and $\mathcal{I}$-asymptotically lacunary statistical $\tilde{\phi}$-equivalence for triple sequences. Moreover, we give the relations between these new notions.
Keywords
asymptotically equivalent; ideal convergence; lacunary sequence; statistical convergence; $\tilde{\phi}$-convergence; triple sequence;
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