Blending type approximation by G B S operators of bivariate tensor product of λ -Bernstein-Kantorovich type.

In this paper, we introduce a family of G B S operators of bivariate tensor product of λ -Bernstein-Kantorovich type. We estimate the rate of convergence of such operators for B -continuous and B -differentiable functions by using the mixed modulus of smoothness, establish the Voronovskaja type asymptotic formula for the bivariate λ -Bernstein-Kantorovich operators, as well as give some examples and their graphs to show the effect of convergence.