Abstract:

In this paper, the explicit expressions of the second  moments for the Meyer Konig and Zeller operators on a simplex are disc ussed  and derived in terms of the generalized integration, Appell hypergeometri c functions in two variables and hypergeometric series. With that, the complete  asymptotic formulae of the second moments are obtained. 

Key words: Meyer Konig and Zeller operators,Simplex, Moment, Appell hypergeometric functions, Hypergeometric series