On the Rate of Approximation of Meyer-König and Zeller Operators.

In this paper the asymptotic property of Meyer-König and Zeller operators Mn for bounded functions on [0, 1] is studied. An asymptotic convergence theorem of this type approximation is established by means of some probabilistic methods and results and accurate estimate technique to the basis functions of the operators Mn. The main result of this paper subsumes the approximation of the operators Mn for functions of bounded variation as a special case. [ABSTRACT FROM AUTHOR]