4 papers
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…
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…
Invariance of Abel universality under composition and applications
Stéphane Charpentier, Myrto Manolaki, Konstantinos Maronikolakis
A holomorphic function on the unit disc belongs to the class of Abel universal functions if the family of its dil…
Abel universal functions: boundary behaviour and Taylor polynomials
Stéphane Charpentier, Myrto Manolaki, Konstantinos Maronikolakis
A holomorphic function on the unit disc belongs to the class of Abel universal functions if the family of its dila…