English

Overiteration of $d$-variate tensor product Bernstein operators: a quantitative result

Classical Analysis and ODEs 2024-02-27 v1

Abstract

Extending an earlier estimate for the degree of approximation of overiterated univariate Bernstein operators towards the same operator of degree one, it is shown that an analogous result holds in the dd-variate case. The method employed can be carried over to many other cases and is not restricted to Bernstein-type or similar methods.

Keywords

Cite

@article{arxiv.2402.16485,
  title  = {Overiteration of $d$-variate tensor product Bernstein operators: a quantitative result},
  author = {Ana-Maria Acu and Heiner Gonska},
  journal= {arXiv preprint arXiv:2402.16485},
  year   = {2024}
}
R2 v1 2026-06-28T15:00:09.284Z