On Hilbert Ideal Convergent Sequence Spaces in Neutrosophic Normed Spaces

Khan, Vakeel A.; Esi, Ayhan; Faisal, Mohamed; Arshad, Mohammad

doi:10.2478/tmmp-2025-0005

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^I₀₍_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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On Hilbert Ideal Convergent Sequence Spaces in Neutrosophic Normed Spaces

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