On rational approximation of Markov functions on finite sets

• Vasiliy A. Prokhorov ^[1]
  1. [1] University of South Alabama

     University of South Alabama

     Estados Unidos

     
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 191, Nº 1 (March 2015), 2015, págs. 94-117
• Idioma: inglés
• DOI: 10.1016/j.jat.2014.10.006
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• Resumen

  • In this article we study questions related to the approximation of Markov functions on a finite set of points on the real line by rational functions with real coefficients. The main results include formulas for the error in best rational approximation. A connection of rational approximation problems with the discrete Hankel operator is also investigated.