Simultaneous approximation and interpolation of increasing functions by increasing entire functions

DOI10.1016/j.jmaa.2008.08.018zbMath1155.41005OpenAlexW2063290722MaRDI QIDQ2518774

Maxim R. Burke

Publication date: 16 January 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.08.018

zbMATH Keywords

InterpolationEntire functionsComplex approximationOrder-isomorphism

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Simultaneous approximation (41A28)

Related Items (5)

Approximation and interpolation by entire functions with restriction of the values of the derivatives ⋮ Approximation and interpolation by large entire cross-sections of second category sets in \(\mathbb R^{n+1}\) ⋮ Approximation by Entire Functions in the Construction of Order-Isomorphisms and Large Cross-Sections ⋮ Universal Entire Functions That Define Order Isomorphisms of Countable Real Sets ⋮ Comonotone approximation and interpolation by entire functions

Cites Work

• On the consistency of some partition theorems for continuous colorings, and the structure of \(\aleph _ 1\)-dense real order types
• Approximation und Interpolation durch ganze Funktionen
• Entire functions mapping uncountable dense sets of reals onto each other monotonically
• Independence results
• Αll $ℵ_1$-dense sets of reals can be isomorphic
• Simultaneous Interpolation and Approximation in Topological Linear Spaces
• Entire Functions Mapping Countable Dense Subsets of the Reals Onto Each Other Monotonically

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