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Some new $I_λ$-lacunary statistical convergence (1603.06781v1)

Published 22 Mar 2016 in math.FA

Abstract: In this paper, we introduce some new $I_\lambda$-lacunary statistically convergent sequence spaces of order $\alpha$ defined by a Musielak-Orlicz function. We study some relations between $I_\lambda$-lacunary statistically convergence with lacunary $I_\lambda$-summable sequences. Moreover we also study about the $I_\lambda$-lacunary statistically convergence of sequences in topological groups and give some important inclusion theorems.

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