Deferred Nörlund statistical convergence in probability, mean and distribution for sequences of random variables

Abstract

We introduce and study deferred N örlund statistical convergence in probability, mean of order r, distribution and study the interrelation among them. Based upon the proposed method to illustrate the findings, we present new Korovkin-type theorems for the sequence of random variables via deferred N örlund statistically convergence and present compelling examples to demonstrate the effectiveness of the results.