The density of rational functions in Markov systems: A counterexample to a conjecture of D. J. Newman

DOI10.1007/BF01229338zbMath0777.41018OpenAlexW2080224833WikidataQ123199297 ScholiaQ123199297MaRDI QIDQ1205140

Boris Shekhtman, Peter B. Borwein

Publication date: 1 April 1993

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01229338

zbMATH Keywords

Markov systemlacunary series of polynomialsMuntz Theorem

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20)

Related Items (1)

Corrigendum: The density of rational functions in Markov systems: A counterexample to a conjecture of D. J. Newman

Cites Work

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• On duality in rational approximation
• A duality principle for rational approximation
• Rational combinations of \(x^{\lambda_k}\), \(\lambda_k\geq 0\) are always dense in \(C[0,1\)]
• Approximation by polynomials
• A Note on a Basis Problem
• A Müntz-type problem for rational approximation
• On the density of quotients of lacunary polynomials

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