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Volume 7, Issue 2
Quasi Statistical Convergence of Double Sequences in Neutrosophic Normed Spaces

Chiranjib Choudhury & Carlos Granados

DOI: 10.12150/jnma.2025.704

J. Nonl. Mod. Anal., 7 (2025), pp. 704-719.

Published online: 2025-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, we introduce the notion of quasi statistical convergence of double sequences in the neutrosophic normed spaces mainly as a generalization of statistical convergence of double sequences. We investigate a few fundamental properties of the newly introduced notion and examine the relationship with statistical convergence of double sequences in the neutrosophic normed spaces. In the end, we introduce the concept of quasi statistical Cauchy sequence of double sequences and show that quasi statistical Cauchy sequences for double sequences are equivalent to quasi statistical convergent double sequences in the neutrosophic normed spaces.

  • Keywords

Quasi-density, quasi statistical convergence of double sequences, neutrosophic normed space.

  • AMS Subject Headings

46S40, 03E72, 40G15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-7-704, author = {Choudhury , Chiranjib and Granados , Carlos}, title = {Quasi Statistical Convergence of Double Sequences in Neutrosophic Normed Spaces}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {2}, pages = {704--719}, abstract = {

In this paper, we introduce the notion of quasi statistical convergence of double sequences in the neutrosophic normed spaces mainly as a generalization of statistical convergence of double sequences. We investigate a few fundamental properties of the newly introduced notion and examine the relationship with statistical convergence of double sequences in the neutrosophic normed spaces. In the end, we introduce the concept of quasi statistical Cauchy sequence of double sequences and show that quasi statistical Cauchy sequences for double sequences are equivalent to quasi statistical convergent double sequences in the neutrosophic normed spaces.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.704}, url = {http://global-sci.org/intro/article_detail/jnma/24023.html} }
TY - JOUR T1 - Quasi Statistical Convergence of Double Sequences in Neutrosophic Normed Spaces AU - Choudhury , Chiranjib AU - Granados , Carlos JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 704 EP - 719 PY - 2025 DA - 2025/04 SN - 7 DO - http://doi.org/10.12150/jnma.2025.704 UR - https://global-sci.org/intro/article_detail/jnma/24023.html KW - Quasi-density, quasi statistical convergence of double sequences, neutrosophic normed space. AB -

In this paper, we introduce the notion of quasi statistical convergence of double sequences in the neutrosophic normed spaces mainly as a generalization of statistical convergence of double sequences. We investigate a few fundamental properties of the newly introduced notion and examine the relationship with statistical convergence of double sequences in the neutrosophic normed spaces. In the end, we introduce the concept of quasi statistical Cauchy sequence of double sequences and show that quasi statistical Cauchy sequences for double sequences are equivalent to quasi statistical convergent double sequences in the neutrosophic normed spaces.

Choudhury , Chiranjib and Granados , Carlos. (2025). Quasi Statistical Convergence of Double Sequences in Neutrosophic Normed Spaces. Journal of Nonlinear Modeling and Analysis. 7 (2). 704-719. doi:10.12150/jnma.2025.704
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