Brass-Stancu-Kantorovich operators on a Hypercube

We deal with multivariate Brass-Stancu-Kantorovich operators depending on a non-negative integer parameter and defined on the space of all Lebesgue integrable functions on a unit hypercube. We prove Lp-approximation and provide estimates for the Lp-norm of the error of approximation in terms of a multivariate averaged modulus of continuity and of the corresponding Lp-modulus.