S. Charpentier

collaborators

3 papers

math.CV2026

Simultaneous polynomial approximation in Beurling-Sobolev spaces via Blaschke products

StÃ©phane Charpentier, Nicolas Espoullier, Rachid Zarouf

Assuming that $I ¨ (t) = o (t^{2})$ as $t \to 0$ , we establish a lemma on simultaneous polynomial approximation in Orlicz-Beurling-Sobolev spaces $ℓ_{a}^{I ¨} $ . These spaces, endowed with the…

math.CV2025

New results on universal Taylor series via weighted polynomial approximation

StÃ©phane Charpentier, Konstantinos Maronikolakis

We use weighted polynomial approximation to prove the existence of a compact set K with non-empty interior and a function f is dense in the space A(K) of all continuous functions o…

math.CV2025

Quantitative incomplete polynomial approximation and frequently universal Taylor series

Let $(I ¨ _{n})_{n}$ be a sequence of real numbers in $(1, + \infty)$ . Using potential theoretic methods, we prove quantitative results - Bernstein-Walsh type theorems - about uniform appr…