Abstract
In the present paper, we consider a tensor product of a generalized λ-Bernstein-Kantorovich type operators and discuss its approximation properties by means of the complete and partial moduli of continuity, Lipschitz class and the Peetre’s K-functional. Further, we define the GBS (Generalized Boolean Sum) operators of the above bivariate operators and investigate the convergence rate of these operators for the Bgel continuous and Bgel differentiable functions by using the mixed modulus of smoothness. Finally, we illustrate the rate of convergence and its comparison for the bivariate λ-Bernstein-Kantorovich type operators and the associated GBS operators by means of graphs and tables for certain functions by using Matlab algorithms.
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