Statistical approximation by double complex Gauss-Weierstrass integral operators (Q617004)

There are introduced the complex Gauss-Weierstrass integral operators defined on the space \(\{f\in C(\overline D^2)\): \(f\) is analytic on \(D^2\) with \(f(0,0)= 0\}\), where \(D^2= \{(z,w)\in \mathbb{C}^2:|z|< 1\) and \(|w|< 1\}\), and their geometric properties and statistical approximation process are studied, respectively.