Approximation by Bivariate (p, q)-Bernstein-Kantorovich Operators

摘要

In the present paper, we introduce Kantorovich modifications of ( p ,  q )-Bernstein operators for bivariate functions using a new ( p ,  q )-integral. We first estimate the moments and central moments. We give the uniform convergence of new operators, rate of convergence in terms of modulus of continuity. The approximations behaviours of the operators for functions having continuous partial derivatives and for functions belong to Lipschitz class are investigated as well.