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On Δm (J) summability in neutrosophic-n-normed linear spaces

For the difference operator Δm and the admissible ideal J ⊆ P(N), we aim in present work to introduce Δm (J*N)-summability and Δm (J*N)-summability in neutrosophic-n-normed linear spaces (briefly called… Click to show full abstract

For the difference operator Δm and the admissible ideal J ⊆ P(N), we aim in present work to introduce Δm (J*N)-summability and Δm (J*N)-summability in neutrosophic-n-normed linear spaces (briefly called N-n-NLS). We explore some basic properties of Δm (J*N)-summability and Δm (J*N)-summability and find conditions on J for which the two summability methods coincide. Finally, we define Δm (JN)-Cauchy sequences in N-n-NLS and obtain the Cauchy convergence criteria.

Keywords: neutrosophic normed; linear spaces; summability neutrosophic; normed linear; summability

Journal Title: Journal of Interdisciplinary Mathematics
Year Published: 2024

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