English

Almost optimal polynomial approximation on convex sets in $\mathbb{C}$

Complex Variables 2022-10-19 v1

Abstract

For a function ff, continuous on a compact convex set KK and analytic in its interior we construct a sequence of almost optimal polynomials that converge with a geometric rate at points of analyticity of ff.

Keywords

Cite

@article{arxiv.2210.09567,
  title  = {Almost optimal polynomial approximation on convex sets in $\mathbb{C}$},
  author = {Liudmyla Kryvonos},
  journal= {arXiv preprint arXiv:2210.09567},
  year   = {2022}
}

Comments

12 pages

R2 v1 2026-06-28T03:52:59.488Z