Statistical convergence in seminormed spaces

In this thesis, firstly, convergence concepts are given for real or complex sequences. In addition, the topological properties of statistical convergence obtained from the concept of natural density were examined and their relations with the concept of Cesaro summability were examined. Then statistical convergence in semi-normed spaces, γ- statistical convergence, 0<α ≤1. degree statistical and φ- an unbounded modulus function, φ- statistical convergence concepts were examined and their relations with summability were given. Finally, some inclusion theorems are given by examining the properties of this convergence by giving the concept of statistical convergence according to φ- an unbounded modulus function in semi-normed spaces.