Voronovskaya Like Asymptotic Expansions for Multivariate Generalized Discrete Singular Operators

Authors

George A. Anastassiou, University of MemphisFollow
Merve Kester, Tusculum UniversityFollow

Abstract

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. It follows [4].

Publication Title

Series on Concrete and Applicable Mathematics

Recommended Citation

Anastassiou, G., & Kester, M. (2017). Voronovskaya Like Asymptotic Expansions for Multivariate Generalized Discrete Singular Operators. Series on Concrete and Applicable Mathematics, 20, 239-252. https://doi.org/10.1142/9789813145849_0009