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A sharp estimate is given for the first order absolute moment of Meyer-König and Zeller operators Mn. This estimate is then used to prove convergence of approximation of a class of absolutely continuous functions by the operators Mn. The condition considered here is weaker than the condition considered in a previous paper and the rate of convergence we obtain is asymptotically the best possible.

First order absolute moment of Meyer-König and Zeller operators and their approximation for some absolutely continuous functions