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Generalized difference entire sequence spaces

DOI: 10.4067/S0716-09172012000200006

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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