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On Paranorm I-Convergent Sequence Spaces of Interval Numbers Defined by Modulus Function |
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PP: 111-118 |
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Author(s) |
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Vakeel A. Khan,
Mohd Shafiq,
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Abstract |
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In this article we introduce and study the I-convergent sequence spaces C^{I}(A,f,p), C₀^{I}(A,f,p) and ℓ_{∞}^{I}(A,f,p) on interval numbers with the help of a modulus function f and a bounded sequence p=(p_{k}) of strictly positive real numbers. We study some topological and algebraic properties, prove the decomposition theorem and study some inclusion relations on these spaces.
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