Demirci, Kamil \(A\)-statistical core of a sequence. (English) Zbl 0959.40001 Demonstr. Math. 33, No. 2, 343-353 (2000). Author’s abstract: We extend the concepts of statistical limit superior and inferior (as introduced by Fridy and Orhan) to \(A\)-statistical limit superior and inferior and give some \(A\)-statistical analogue of properties of statistical limit superior and inferior for a sequence of real numbers. Also we extend the concept of statistical core to \(A\)-statistical core and get necessary and sufficient conditions on a matrix \(T\) so that the Knopp core of \(Tx\) is contained in the \(A\)-statistical core of a bounded complex number sequence \(x\). Reviewer: László Leindler (Szeged) Cited in 2 ReviewsCited in 20 Documents MSC: 40A05 Convergence and divergence of series and sequences 26A03 Foundations: limits and generalizations, elementary topology of the line 11B05 Density, gaps, topology Keywords:\(A\)-statistical limit superior and inferior; \(A\)-statistical core; Knopp core PDFBibTeX XMLCite \textit{K. Demirci}, Demonstr. Math. 33, No. 2, 343--353 (2000; Zbl 0959.40001) Full Text: DOI