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Approximation properties of bivariate extension of \(q\)-Bernstein-Schurer-Kantorovich operators. (English) Zbl 1316.41006

Summary: In this paper, we introduce a bivariate generalization of the Bernstein-Schurer-Kantorovich operators based on \(q\)-integers and get a Bohmann-Korovkin type approximation theorem of these operators. We also estimate the rate of convergence of the proposed operators, in terms of the first modulus of smoothness.

MSC:

41A10 Approximation by polynomials
41A25 Rate of convergence, degree of approximation
41A36 Approximation by positive operators
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