The electrostatic properties of zeros of exceptional Laguerre and Jacobi polynomials and stable interpolation

• Á.P. Horváth ^[1]
  1. [1] Budapest University of Technology and Economics

     Budapest University of Technology and Economics

     Hungría

     
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 194, Nº 1 (June 2015), 2015, págs. 87-107
• Idioma: inglés
• DOI: 10.1016/j.jat.2015.02.004
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• Resumen

  • We examine the electrostatic properties of exceptional and regular zeros of Xm-Laguerre and Xm-Jacobi polynomials. Since there is a close connection between the electrostatic properties of the zeros and the stability of interpolation on the system of zeros, we can deduce an Egerváry–Turán type result as well. The limit of the energy on the regular zeros is also investigated