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Some new Iλ-lacunary statistical convergence

2016/03/22 by Adem Kılıçman, Kılıçman, Adem, Stuti Borgohain +1
Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1603.06781

openalex publication_date 2016/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce some new I_\λ-lacunary statistically\nconvergent sequence spaces of order \α defined by a Musielak-Orlicz\nfunction. We study some relations between I_\λ-lacunary statistically\nconvergence with lacunary I_\λ-summable sequences. Moreover we also\nstudy about the I_\λ-lacunary statistically convergence of sequences in\ntopological groups and give some important inclusion theorems.\n

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