Approximation on hexagonal domains by Taylor-Abel-Poisson means
Classical Analysis and ODEs
2023-06-27 v2 Numerical Analysis
Numerical Analysis
Abstract
Approximative properties of the Taylor-Abel-Poisson linear summation me\-thod of Fourier series are considered for functions of several variables, periodic with respect to the hexagonal domain, in the integral metric. In particular, direct and inverse theorems are proved in terms of approximations of functions by the Taylor-Abel-Poisson means and -functionals generated by radial derivatives. Bernstein type inequalities for -norm of high-order radial derivatives of the Poisson kernel are also obtained.
Cite
@article{arxiv.2210.16793,
title = {Approximation on hexagonal domains by Taylor-Abel-Poisson means},
author = {Jürgen Prestin and Viktor Savchuk and Andrii Shidlich},
journal= {arXiv preprint arXiv:2210.16793},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:1609.09615, arXiv:1901.06275