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On Hilbert Ideal Convergent Sequence Spaces in Neutrosophic Normed Spaces

Vakeel A. Khan

Vakeel A. Khan

Department of Mathematics, Aligarh Muslim UniversityAligarh, India
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Khan, Vakeel A.
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Ayhan Esi

Ayhan Esi

Malatya Turgut Ozal University Engineering Faculty Dept. of Basic Engineering Sciences MalatyaMalatya, Turkey
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Esi, Ayhan
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Mohd Faisal

Mohd Faisal

Department of Mathematics, Aligarh Muslim UniversityAligarh, India
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Faisal, Mohd
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Mohammad Arshad

Mohammad Arshad

Department of Mathematics, Aligarh Muslim UniversityAligarh, India
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Arshad, Mohammad
  
Jul 01, 2025
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Published Online: Jul 01, 2025
Received: Nov 04, 2024
Accepted: Feb 08, 2025
DOI: https://doi.org/10.2478/tmmp-2025-0005
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© 2025 Vakeel A. Khan et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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 𝒞I0(L,M,N)(ℋ)and 𝒞I(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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Mathematics, General Mathematics
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