• Title/Summary/Keyword: 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 TRIPLE SEQUENCES IN GRADUAL 2-NORMED LINEAR SPACES

  • Isil Acik Demirci;Gulsum Dermencioglu
    • Honam Mathematical Journal
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    • v.46 no.2
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    • pp.291-306
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    • 2024
  • The concept of lacunary statistical convergence of triple sequences with respect to gradual 2-normed linear spaces is introduced in this research. We learn about its link to some inclusion and fundamental properties. The notion of lacunary statistical Cauchy triple sequences is introduced in the conclusion, and it is demonstrated that it is equivalent to the idea of lacunary statistical convergence.

ON LACUNARY ∆m-STATISTICAL CONVERGENCE OF TRIPLE SEQUENCE IN INTUITIONISTIC FUZZY N-NORMED SPACE

  • Asif Hussain Jan;Tanweer Jalal
    • Korean Journal of Mathematics
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    • v.31 no.3
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    • pp.349-361
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    • 2023
  • In this article, we construct lacunary ∆m-statistical convergence for triple sequences within the context of intuitionistic fuzzy n-normed spaces (IFnNS). For lacunary ∆m-statistical convergence of triple sequence in IFnNS, we demonstrate numerous results. For this innovative notion of convergence, we further built lacunary ∆m-statistical Cauchy sequences and offered the Cauchy convergence criterion.

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.

ON LACUNARY STATISTICAL 𝜙-CONVERGENCE FOR TRIPLE SEQUENCES OF SETS VIA IDEALS

  • DEMIRCI, ISIL ACIK;GURDAL, MEHMET
    • Journal of applied mathematics & informatics
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    • v.40 no.3_4
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    • pp.433-444
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    • 2022
  • In the present paper, we introduce some new notions of Wijsman ${\mathcal{I}}$-statistical convergence with the use of Orlicz function, lacunary sequence and triple sequences of sets, and obtain some analogous results from the new definitions point of views.

On triple sequence space of Bernstein-Stancu operator of rough Iλ-statistical convergence of weighted g (A)

  • Esi, A.;Subramanian, N.;Esi, Ayten
    • Annals of Fuzzy Mathematics and Informatics
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    • v.16 no.3
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    • pp.337-361
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    • 2018
  • We introduce and study some basic properties of rough $I_{\lambda}$-statistical convergent of weight g (A), where $g:{\mathbb{N}}^3{\rightarrow}[0,\;{\infty})$ is a function statisying $g(m,\;n,\;k){\rightarrow}{\infty}$ and $g(m,\;n,\;k){\not{\rightarrow}}0$ as $m,\;n,\;k{\rightarrow}{\infty}$ and A represent the RH-regular matrix and also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence of weight g (A) limits of a triple sequence of Bernstein-Stancu polynomials.