Banach and Statistical Cores of Bounded Sequences

DOI10.1023/B:CMAJ.0000027247.75771.b3zbMath1045.40002OpenAlexW2071074208MaRDI QIDQ4814514

Şeyhmus Yardımcı, Cihan Orhan

Publication date: 7 September 2004

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30837

zbMATH Keywords

almost convergent sequencecore of a sequencestatistically convergent sequence

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05)

Related Items (3)

On uniform statistical convergence ⋮ \(\sigma\)-core and \(\mathcal I\)-core of bounded sequences. ⋮ Multidimensional matrix characterisations of the Banach and Pringsheim core

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some analogues of Knopp's core theorem
• An extension of Knopp's core theorem
• Statistical core theorems
• On almost convergent and statistically convergent subsequences
• Banach limits, infinite matrices and sublinear functionals
• Infinite matrices and almost convergence
• Core theorems for real bounded sequences
• Sublinear functionals and KnoppJs core theorem
• A contribution to the theory of divergent sequences
• Statistical Limit Points
• The Set of all Generalized Limits of Bounded Sequences
• ON STATISTICAL CONVERGENCE
• THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
• A note on a theorem of Maddox on strong almost convergence
• Matrix Summability of Statistically Convergent Sequences
• Statistical limit superior and limit inferior
• A-STATISTICAL CORE OF A SEQUENCE
• A Measure Theoretical Subsequence Characterization of Statistical Convergence
• MATRIX TRANSFORMATIONS OF STATISTICAL CORES OF COMPLEX SEQUENCES
• Almost Summable Sequences

This page was built for publication: Banach and Statistical Cores of Bounded Sequences