On strongly almost lacunary statistical A-convergence defined by\n Musielak-Orlicz function

2015/06/17 by Ekrem Savaș, Savas, Ekrem, Stuti Borgohain +1
Mathematics · #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1506.05452

openalex publication_date 2015/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study some new strongly almost lacunary statistical A-convergent\nsequence space of order \α defined by a Musielak-Orlicz function. We also\ngive some inclusion relations between the newly introduced class of sequences\nwith the spaces of strongly almost lacunary A-convergent sequence of order\n\α. Moreover we have examined some results on Musielak-Orlicz function\nwith respect to these spaces.\n

Citations

• On Certain Sequence Spaces

Related

• Some new I_λ-lacunary statistical convergence
• Lacunary arithmetic statistical convergence
• Generalized almost statistical convergence
• Convergence and divergence of averages along subsequences in certain Orlicz spaces
• Statistical convergence in metric-like spaces