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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

SHAFIQ, Mohd  and  ESI, Ayhan. On some spaces of Lacunary I-convergent sequences of interval numbers defined by sequence of moduli. Proyecciones (Antofagasta) [online]. 2017, vol.36, n.2, pp.325-346. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172017000200325.

In this article we introduce and study some spaces of I-convergent sequences of interval numbers with the help of a sequence of moduli, a bounded sequence of positive real numbers and a lacunary sequence of increasing integers. We study some topological and algebraic properties and some inclusion relations on these spaces.

Keywords : Interval numbers; Ideal; filter; I-convergent sequence; solid and monotone space; Banach space; modulus function.

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