On Hilbert Ideal Convergent Sequence Spaces in Neutrosophic Normed Spaces

Abstract The neutrosophic set is a generalization of IFNS and was introduced by Smarandache [17]. In this paper, by using the trianglular Hilbert matrix (ℋ)and I -convergence, we define some new sequence spaces C I 0( L , M , N ) (ℋ)and C I ( L , M , N ) (ℋ) as a domain of trianglular Hilbert matrix ℋ with respect to neutrosophic norm and study some results about these sequence spaces.

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Publication Details

Journal
Tatra Mountains Mathematical Publications
Published
2025-06-24
DOI
https://doi.org/10.2478/tmmp-2025-0005
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
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article

On Hilbert Ideal Convergent Sequence Spaces in Neutrosophic Normed Spaces

Ayhan Eşi, Vakeel A. Khan, Mohamed Faisal, Mohammad Arshad
Tatra Mountains Mathematical Publications
Fuzzy and Soft Set Theory
article

On Hilbert Ideal Convergent Sequence Spaces in Neutrosophic Normed Spaces

Ayhan Eşi, Vakeel A. Khan, Mohamed Faisal, Mohammad Arshad
article en

Abstract

Abstract The neutrosophic set is a generalization of IFNS and was introduced by Smarandache [17]. In this paper, by using the trianglular Hilbert matrix (ℋ)and I -convergence, we define some new sequence spaces C I 0( L , M , N ) (ℋ)and C I ( L , M , N ) (ℋ) as a domain of trianglular Hilbert matrix ℋ with respect to neutrosophic norm and study some results about these sequence spaces.

Tatra Mountains Mathematical PublicationsVol. 89(1)
Aligarh Muslim University (IN), Malatya Turgut Özal Üniversitesi (TR), Turgut Özal University (TR)
Openalex Percentile: Top 83%
Fuzzy and Soft Set Theory
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