Rates of approximation of bounded variation functions by two generalized Meyer-König and Zeller type operators

AbstractIn this paper, the approximation behaviours of two generalized Meyer-König and Zeller type operators Mn, α(ƒ, χ) and M̂n, α(ƒ, χ) are studied. By means of the decomposition technique of functions of bounded variation and the method of Bojanic [1], Bojanic and Vuilleumier [2], and Cheng [3], together with some results from probability theory and the exact bound of Meyer-König and Zeller operators basis functions, the rates of convergence of these two operators for functions of bounded variation are obtained