Statistical Limit Points

  title={Statistical Limit Points},
  author={J. A. FRIDY},
  • J. A. FRIDY
  • Published 2010
Following the concept of a statistically convergent sequence x , we define a statistical limit point of x as a number X that is the limit of a subsequence {xk(j)} of x such that the set {k(j): j £N} does not have density zero. Similarly, a statistical cluster point of x is a number y such that for every e > 0 the set {k € N: |x/t —y| < e} does not have density zero. These concepts, which are not equivalent, are compared to the usual concept of limit point of a sequence. Statistical analogues of… CONTINUE READING