Properties of J_p-Statistical Convergence

Abstract

In this study, different characterizations of J_p-statistically convergent sequences are given. The main features of J_p-statistically convergent sequences are investigated and the relationship between J_p-statistically convergent sequences and J_p-statistically Cauchy sequences is examined. The properties provided by the set of bounded and J_p statistical convergent sequences is shown. It is given that the statistical limit is unique. Furthermore, a sequence that J_p-statistical converges to the number L has a subsequence that converges to the same number of L, is shown. The analogs of J_p statistical convergent sequences is studied.

On statistical limit points with respect to power series methods and modulus functions

“…In [4], Bayram and Yıldız gave various Korovkin-type approximation theorems for linear operators defined on derivatives of functions, using statistical convergence according to power series methods. The recent results including P -statistical convergence can be seen in [2], [5], [8], [16], [17], [19].…”