Deferred Cesaro and deferred Euler equi-statistical convergence and its applications to Korovkin-type approximation theorem

The present paper emphasises on equi-statistical convergence, pointwise statistical convergence and uniform statistical convergence for a sequence of real-valued functions by using deferred Cesaro and deferred Euler statistical convergence and obtain various implicative results with supporting examples. We make an effort to demonstrate Korovkin-type approximation theorem via deferred Cesaro and deferred Euler equi-statistical convergence. We also present an example which shows that our Korovkin-type theorem is powerful than its classical version. Further, we study rates of deferred Cesaro and deferred Euler equi-statistical convergence via modulus of continuity.