• Title/Summary/Keyword: asymptotically equivalent triple sequences

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ON ASYMPTOTICALLY f-ROUGH STATISTICAL EQUIVALENT OF TRIPLE SEQUENCES

  • SUBRAMANIAN, N.;ESI, A.
    • Journal of applied mathematics & informatics
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    • v.37 no.5_6
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    • pp.459-467
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    • 2019
  • In this work, via Orlicz functions, we have obtained a generalization of rough statistical convergence of asymptotically equivalent triple sequences a new non-matrix convergence method, which is intermediate between the ordinary convergence and the rough statistical convergence. We also have examined some inclusion relations related to this concept. We obtain the results are non negative real numbers with respect to the partial order on the set of real numbers.

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

  • Huban, Mualla Birgul;Gurdal, Mehmet;Bayturk, Hamza
    • Honam Mathematical Journal
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    • v.43 no.2
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    • pp.343-357
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    • 2021
  • 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.