Properties of 𝐉𝐩-Statistical Convergence

Abstract

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