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Blending type approximation by operators of bivariate tensor product of λ-Bernstein-Kantorovich type
11School of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou, China.
Abstract:
In this paper, we introduce a family of 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.
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