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

Abstract

In this paper, we introduce a family of $GBS$ 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.