Recent Advances in the Convergence of Function Sequences in Neutrosophic Normed Spaces via Ideals

In this article, we introduce the notions of $\mathcal{I}$-pointwise convergence and $\mathcal{I}$-uniform convergence for sequences of functions defined on a neutrosophic normed space (NNS) with respect to the neutrosophic norm $(\Phi,\Psi,\Upsilon)$. Furthermore, we establish Cauchy criteria for both $\mathcal{I}$-pointwise and $\mathcal{I}$-uniform convergence in NNS. In addition, we derive certain foundational results concerning these concepts with respect to $(\Phi,\Psi,\Upsilon)$ in NNS.

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Publication Details

Journal
Turkish Journal of Mathematics and Computer Science
Published
2026-06-30
DOI
https://doi.org/10.47000/tjmcs.1815791
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

Recent Advances in the Convergence of Function Sequences in Neutrosophic Normed Spaces via Ideals

Ömer Kı̇şı̇, Carlos G̃ranados, Nesar Hossain
Turkish Journal of Mathematics and Computer Science
Approximation Theory and Sequence Spaces
article

Recent Advances in the Convergence of Function Sequences in Neutrosophic Normed Spaces via Ideals

Ömer Kı̇şı̇, Carlos G̃ranados, Nesar Hossain
article en

Abstract

In this article, we introduce the notions of $\mathcal{I}$-pointwise convergence and $\mathcal{I}$-uniform convergence for sequences of functions defined on a neutrosophic normed space (NNS) with respect to the neutrosophic norm $(\Phi,\Psi,\Upsilon)$. Furthermore, we establish Cauchy criteria for both $\mathcal{I}$-pointwise and $\mathcal{I}$-uniform convergence in NNS. In addition, we derive certain foundational results concerning these concepts with respect to $(\Phi,\Psi,\Upsilon)$ in NNS.

Turkish Journal of Mathematics and Computer ScienceVol. 18(2)
Bartin University (TR), Universidad de Antioquia (CO), Dhaka University of Engineering & Technology (BD)
Reduced inequalities
Openalex Percentile: Top 6%
Approximation Theory and Sequence Spaces
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