Applications of equi-statistical convergence and Korovkin-type theorem

The paper aims to introduce and investigate equi-statistical convergence, pointwise statistical convergence and uniform statistical convergence for a sequence of real-valued functions via deferred N¨orlund and deferred Euler statistical convergence. Based on the above defined method, we study different results with compelling instances to illustrate the findings. Moreover, we give an illustrative example that proves that our Korovkin-type theorem is stronger version of the classical theorem. Finally, we study rates of deferred N¨orlund and deferred Euler equi-statistical convergence through modulus of continuity.