Korovkin-type approximation theorem for Bernstein operator of rough statistical convergence of triple sequences

Abstract

We obtain a Korovkin-type approximation theorem for Bernstein polynomials of rough statistical convergence of triple sequences of positive linear operators of three variables from $$H_{\omega }\left( K\right) $$ to $$C_{B}\left( K\right) ,$$ where $$K=[0,\infty )\times [0,\infty )\times [0,\infty )$$ and $$\omega $$ is non-negative increasing function on K, and $$C_{B}\left( K\right) $$ the space of all continuous and bounded real valued functions on K.