Showing 2025Show all
2 papers · 1 filter
math.CV2025
New results on universal Taylor series via weighted polynomial approximation
Stéphane 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
Stéphane Charpentier, Konstantinos Maronikolakis
Let be a sequence of real numbers in . Using potential theoretic methods, we prove quantitative results - Bernstein-Walsh type theorems - about uniform appro…