Asymptotically ... statistical equivalence of double sequences of sets defined by modulus functions

Abstract

Statistical convergence and ideal convergence of real numbers, which are of great importance in the theory of summability, are studied by many mathematicians. Fast (1951) and Schoenberg (1959), independently, introduced the concept of statistical convergence. Mursaleen and Edely (2003) extended this concept to the double sequences. Recently, the statistical convergence has been extended to ideal convergence of real numbers and some important properties about ideal convergence have been investigated by many mathematicians. ...

Statistical convergence and ideal convergence of real numbers, which are of great importance in the theory of summability, are studied by many mathematicians. Fast (1951) and Schoenberg (1959), independently, introduced the concept of statistical convergence. Mursaleen and Edely (2003) extended this concept to the double sequences. Recently, the statistical convergence has been extended to ideal convergence of real numbers and some important properties about ideal convergence have been investigated by many mathematicians. ...