Some new $I_λ$-lacunary statistical convergence

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

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