Identical approximative sequence for various notions of universality

DOI10.1016/j.jat.2004.10.004zbMath1068.30004OpenAlexW1973334686MaRDI QIDQ1763775

Vagia Vlachou, George Costakis

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jat.2004.10.004

zbMATH Keywords

overconvergenceapproximation by derivatives and antiderivativesmultiply universal function

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (5)

Universal functions as series of rational functions ⋮ Interpolation by universal, hypercyclic functions ⋮ Universal approximation theorem for Dirichlet series ⋮ Simultaneous approximation by universal series ⋮ On universal formal power series

Cites Work

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• Holomorphic monsters
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• Approximation by antiderivatives
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• UNIVERSAL APPROXIMATION PROPERTIES OF OVERCONVERGENT POWER SERIES ON OPEN SETS
• Universal Vectors for Operators on Spaces of Holomorphic Functions
• Universal families and hypercyclic operators
• Derivative and antiderivative operators and the size of complex domains
• Some remarks on universal functions and Taylor series
• Universality of Taylor series as a generic property of holomorphic functions

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