… We present an explicit expression for the moments M, e,, where e,(x) = x" (re N,), of the
Meyer-König and Zeller operators in terms of a Laplace integral. Furthermore we give the
complete asymptotic expansion for n – c. i 1995 … The purpose of this paper is to extend
the known results about the second moment in [ 1 ] to higher order moments. More precisely,
we give a complete solution of the problem to find an explicit expression and the asymptotic
expansion for all moments M, e, (r = 0, 1, 2, ...) of the Meyer-König and Zeller operators …

… The Meyer–König and Zeller operators are given by M n ( f , x ) = ∑ k = 0 ∞ f ( k n + k ) m n ,
k ( x ) , 0 ≤ x < 1 , M n ( f , 1 ) = f ( 1 ) , m n , k ( x ) = n + k k x k ( 1 − x ) n + 1 , and have been the
object of several investigations in approximation theory (cf. [1], [2]). It is known that the
estimates of the … For the estimates of moments of many well-known operators, there are nice
results (cf. [3, Ch. 9]). … A global approximation theorem for Meyer–König and Zeller operators …