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

Liudmyla Kryvonos

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arXiv · 2210.09567

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

Liudmyla Kryvonos

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Abstract

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

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BibTeX RIS

Liudmyla Kryvonos. 2022-10-18. Almost optimal polynomial approximation on convex sets in $\mathbb{C}$. https://arxiv.org/abs/2210.09567

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