A Study on Lacunary Statistical Convergence of Multiset Sequences


Hafize Gumus, Hasan Huseyin Gulec, Nihal Demir




Statistical convergence developed rapidly after being defined independently by Fast and Steinhaus in 1951 and was studied in many fields. One of them is lacunary statistical convergence and it was defined by Fridy and Orhan in 1993. On the other hand, although there are various studies on multisets, which are sets that can repeat elements, the convergence of multiset sequences was defined by Pachilangode in 2021. In this study, lacunary statistical convergence of multiset sequences is examined and releated examples and theorems are given.