Glasnik Matematicki, Vol. 37, No.2 (2002), 293-301.

ON A-STATISTICAL CLUSTER POINTS

Kamil Demirci

Abstract.   In this paper we study the concepts of statistical cluster points and statistical core of a sequence for C_λ methods defined by deleting a set of rows from the Cesaro matrix C₁. Also we get necessary conditions on the matrices A and B so that A and B are equivalent in the statistical convergence sense and, study the equality Γ_A(x) = Γ_B(x), where Γ_A(x) is the set of A-statistical cluster points of the real number sequence x.

2000 Mathematics Subject Classification.   40A05, 26A03, 11B05.

Key words and phrases.   A-density, A-statistical cluster point, A-statistical core of a sequence.