On statistical convergence and statistical monotonicity

Abstract. The main aim of this paper is to investigate properties of statistically convergent sequences. Also, the definition of statistical monotonicity and upper (or lower) peak points of real valued sequences will be introduced. The interplay between the statistical convergence and these concepts are also studied. Finally, the statistically monotonicity is generalized by using a matrix transformation.

Key words and phrases. Statistical convergence, Lower-Upper peak point, statistical monotone.