Approximation theorems for multivariate Taylor-Abel-Poisson means
Classical Analysis and ODEs
2019-09-23 v2
Abstract
We obtain direct and inverse approximation theorems of functions of several variables by Taylor-Abel-Poisson means in the integral metrics. We also show that norms of multipliers in the spaces are equivalent for all positive integers
Cite
@article{arxiv.1901.06275,
title = {Approximation theorems for multivariate Taylor-Abel-Poisson means},
author = {Jürgen Prestin and Viktor Savchuk and Andrii Shidlich},
journal= {arXiv preprint arXiv:1901.06275},
year = {2019}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1609.09615