Asymptotic Expansion of Wavelet Type Generalized Bézier Operators

In this paper we attain certain asymptotic properties of the recently introduced [4] wavelet type gen- eralized Bézier operators by means of the compacted Daubechies of ξ. The basis used in constructing these types of operators is the wavelet expansion of ξ, rather than its sampled values ξ 􏰁 k 􏰂. Clearly, n our wavelet operators are more flexile than the former ones, encompassing at least the classical version, as well as the Kantorovich forms of the generalized Bézier operators. As a result, our findings extend several previous results on generalized Bézier operators.