Convergence of Padé approximants of Stieltjes-type meromorphic functions and the relative asymptotics of orthogonal polynomials on the real line

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• 作者：Manuel Bello-Herná ; ndez
• 关键词：Padé ; approximants ; Moment problem ; Orthogonal polynomials ; Varying measures ; Asymptotics
• 刊名：Journal of Approximation Theory
• 出版年：2011
• 出版时间：January 2011
• 年：2011
• 卷：163
• 期：1
• 页码：3-21
• 全文大小：280 K

文摘

We obtain results on the convergence of Padé approximants of Stieltjes-type meromorphic functions and the relative asymptotics of orthogonal polynomials on unbounded intervals. These theorems extend some results given by Guillermo López in this direction substituting the Carleman condition in his theorems by the determination of the corresponding moment problem.