Mergelyan's theorem for zero free functions

DOI10.1016/j.jat.2013.01.003zbMath1280.30018OpenAlexW2082297919MaRDI QIDQ387249

Sergey Khrushchev

Publication date: 20 December 2013

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2013.01.003

zbMATH Keywords

polynomial approximationPeano spaceslocally connected compact setslogarithmically continuous functionsMergelyan's theorem

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by polynomials (41A10)

Related Items

Uniform approximation in the spherical distance by functions meromorphic on Riemann surfaces ⋮ Simultaneous zero-free approximation and universal optimal polynomial approximants ⋮ Mergelyan’s theorem with polynomials non-vanishing on unions of sets ⋮ On the zero-free polynomial approximation problem

Cites Work

• Unnamed Item
• Mergelyan's approximation theorem with nonvanishing polynomials and universality of zeta-functions
• Zero-free polynomial approximation on a chain of Jordan domains

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