Generalized statistical convergence

DOI10.1016/j.ins.2003.09.011zbMath1062.40003OpenAlexW2019638248MaRDI QIDQ707367

Osama H. H. Edely, Mohammad Mursaleen

Publication date: 9 February 2005

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2003.09.011

zbMATH Keywords

statistical convergence\(\mathcal{B}\)-statistical cluster point\(\mathcal{B}\)-statistical convergence\(\mathcal{B}\)-statistical limit point

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Matrix methods for summability (40C05)

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Cites Work

• Unnamed Item
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• Densities and summability
• On statistical limit points and the consistency of statistical convergence
• Lacunary statistical summability
• Statistical Limit Points
• On Strong Matrix Summability with Respect to a Modulus and Statistical Convergence
• ON STATISTICAL CONVERGENCE
• THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
• Matrix Summability of Statistically Convergent Sequences
• Statistical limit superior and limit inferior
• A-STATISTICAL CORE OF A SEQUENCE
• Order Summability and Almost Convergence
• Sur la convergence statistique
• Generalized Asymptotic Density