A^I-STATISTICAL LIMIT POINTS AND AI-STATISTICAL CLUSTER POINTS

Abstract

In this paper using a non-negative regular summability matrix
A and a non trivial admissible ideal I of subsets of N we have introduced
the notion of A^I -statistical limit point as a generalization of A-statistical
limit point of sequences of real numbers. We have also studied some basic
properties of the sets of all A^I -statistical limit points and A^I -statistical
cluster points of real sequences including their interrelationship. Also in-
troducing additive property of A^^ -density zero sets we have established
A I -statistical analogue of some completeness theorems of R.