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On some properties of Kantorovich bivariate operators. (English) Zbl 1101.41026

Summary: We continue our earlier investigations concerning the use of probabilistic methods for constructing linear positive operators useful in approximation theory of functions. The main result of this paper consists in introducing and investigating the approximation properties of Kantorovich bivariate operator, which is an integral linear positive operator reproducing the linear functions.

MSC:

41A36 Approximation by positive operators
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