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About some linear and positive operators defined by infinite sum. (English) Zbl 1099.41009

From the author’s abstract: In the paper we demonstrate general properties for a class of linear positive operators defined by infinite sum. By particularization, we obtain statements, the convergence and the evaluation for the rate of convergence in term of the first modulus of smoothness for Mirakyan-Favard-Szász operators, Baskakov operators, Meyer-König and Zeller operators.

MSC:

41A10 Approximation by polynomials
41A36 Approximation by positive operators
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