Direct and inverse approximation theorems of $2\pi$-periodic functions by Taylor--Abel--Poisson means

Jürgen Prestin; Viktor Savchuk; Andrii Shidlich

Direct and inverse approximation theorems of $2\pi$-periodic functions by Taylor--Abel--Poisson means

Classical Analysis and ODEs 2016-10-03 v1

Authors: Jürgen Prestin , Viktor Savchuk , Andrii Shidlich

Abstract

We obtain direct and inverse approximation theorems of $2\pi$ -periodic functions by Taylor--Abel--Poisson operators in the integral metric.

Keywords

direct approximation theorem inverse approximation theorem periodic functions Taylor--Abel--Poisson means integral metric

Cite

@article{arxiv.1609.09615,
  title  = {Direct and inverse approximation theorems of $2\pi$-periodic functions by Taylor--Abel--Poisson means},
  author = {Jürgen Prestin and Viktor Savchuk and Andrii Shidlich},
  journal= {arXiv preprint arXiv:1609.09615},
  year   = {2016}
}