ON SOME ROUGH IDEAL CONVERGENT SEQUENCE SPACES

Abstract

This paper attempts to generalize rough ideal convergence for some spaces. We have used rough ideal convergence in normed linear spaces to introduce rough ideal convergent sequence spaces using Orlicz function which generalizes the existing sequence spaces, "[C, 1, p], [C, 1, p]0, [C, 1, p]∞". We have also studied some properties of these spaces when topologized through a paranorm and investigated inclusion relations, equivalent conditions, decomposition theorem, and algebraic properties of such spaces. We have also given examples to show that the rough ideal convergent spaces so obtained are solid, monotone but fail to be convergence free.

Publication Title

Palestine Journal of Mathematics

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