Applications of statistical Riemann and Lebesgue integrability of sequence of functions

Abstract

In the present work, we propose to investigate statistical Riemann integrability, statistical Riemann summability, statistical Lebesgue integrability and statistical Lebesgue summability by means of deferred N¨orlund and deferred Riesz mean. We discuss some fundamental theorems connecting these concepts with examples. As an application to our newly formed sequences, we introduce Korovkin-type approximation theorems with relevant example for positive linear operators by using Meyer-K¨onig and Zeller operators to exhibit the effectiveness of our findings