On ?-deferred statistical convergence and strongly deferred summable functions

Abstract

In this paper we introduce the concepts of strongly deferred Cesaro summable and mu -deferred statistical convergence of real-valued functions x=x(t) which are measurable (in the Lebesgue sense) in the interval [1,infinity). In addition, the relations between the set of strong deferred Cesaro summable and mu -deferred statistical convergent of functions have been examined under some restrictions.