Core equality results for sequences

DOI10.1016/j.jmaa.2005.07.067zbMath1092.40001OpenAlexW2072937782MaRDI QIDQ2496677

J. A. Fridy, Jeff Connor, Cihan Orhan

Publication date: 20 July 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.07.067

zbMATH Keywords

corenatural densitystatistically convergent sequencestatistical limit superior/limit inferior

Mathematics Subject Classification ID

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

Related Items (9)

Generalized limits and statistical convergence ⋮ Some new paranormed difference sequence spaces and weighted core ⋮ A new almost convergent sequence space defined by Schröder matrix ⋮ On some new paranormed Euler sequence spaces and Euler core ⋮ Matrix maps of statistically convergent sequences ⋮ Asymptotic \(I\)-equivalence of two number sequences and asymptotic \(I\)-regular matrices ⋮ Two valued measure and summability of double sequences ⋮ Characterizations of the ideal core ⋮ Almost convergence and Euler totient matrix

Cites Work

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• Some analogues of Knopp's core theorem
• Statistical core theorems
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• Statistical Limit Points
• Two valued measures and summability
• ON STATISTICAL CONVERGENCE
• Matrix Summability of Statistically Convergent Sequences
• Statistical limit superior and limit inferior
• A Measure Theoretical Subsequence Characterization of Statistical Convergence
• MATRIX TRANSFORMATIONS OF STATISTICAL CORES OF COMPLEX SEQUENCES
• Sur la convergence statistique
• T -Transformations Which Leave the Core of Every Bounded Sequence Invariant

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