Deferred statistical boundedness on time scales

Abstract

In this paper, we first define deferred statistical boundedness of $ \Delta $-measurable real valued functions on an arbitrary time scale. Some theorems relating deferred statistical convergence and deferred statistical boundedness on time scales have been included. Furthermore, we established some inclusion theorems relating statistical boundedness and deferred statistical boundedness on time scales. Finally, we have provided a general description of inclusion between two deferred statistical methods of boundedness on time scales.