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Generalized difference entire sequence spaces

Keywords: Paranorm space , modulus function , solid , monotone , entire sequences , analytic sequences , paranorm space , n-normed space

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Abstract:

In this paper we introduce difference entire sequence spaces and difference analytic sequence spaces defined by a sequence of modulus function F = (/ ) and study some topological properties and some inclusion relations between these spaces. We also make an effort to study some properties and inclusion relation between the spaces Tf(á , u, p, q, ||., ···, .||) and Af(A^ , u, p, q, ||., ·· ·, .).

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