Voronovskaya Type Asymptotic Expansions for Multivariate Generalized Discrete Singular Operators

摘要

Here we give asymptotic expansions including simultaneous ones, for the multivariate generalized discrete versions of unitary Picard, Gauss-Weierstrass, and Poisson-Cauchy type singular operators. These are Voronovskaya type expansions and they are connected to the approximation properties of these operators.