Characterizing curves satisfying the Gauss–Christoffel theorem

作者:

Highlights:

摘要

In this paper we obtain the reciprocal of the classical Gauss theorem for quadrature formulas. Indeed we characterize the support of the measures having quadrature formulas with the exactness given in the Gauss theorem.

论文关键词:33C47,42C05,Gaussian quadrature formulas,Orthogonal polynomials,Szegő quadrature formulas,Support of the measure

论文评审过程:Received 14 September 2007, Available online 25 February 2009.

论文官网地址:https://doi.org/10.1016/j.cam.2009.02.030