In this paper, deferred Riesz statistical convergence as well as \(\hslash \) -deferred Riesz statistical convergence in terms of power series method for real or complex sequences are introduced and studied. Their interconnection with Riesz statistical convergence is explored and illustrative examples in support of our results are presented. Applications of these convergences in the form of a Korovkin-type approximation theorem are established and illustrations demonstrating the superiority of our proven theorem over the classical Korovkin theorem are offered. Finally, the rate of convergence is computed.
