Zero distribution of incomplete Padé and Hermite-Padé approximations

详细信息    查看全文

• 作者：B. de la Calle Ysern^a ; ^{bcalle@etsii.upm.es" class="auth_mail" title="E-mail the corresponding author} ; J. Mí ; nguez Ceniceros^b ; ^{judit.minguez@unirioja.es" class="auth_mail" title="E-mail the corresponding author}
• 关键词：30C15 ; 41A21
• 刊名：Journal of Approximation Theory
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：201
• 期：Complete
• 页码：13-29
• 全文大小：263 K

文摘

We prove that a subsequence of the normalized zero counting measures of incomplete Padé approximants tend, as the degree of the numerators goes to infinity and that of the denominators remains bounded, to the uniform distribution on the largest circle centered at the origin inside of which the approximants converge in the sense of the Hausdorff content. As a consequence, a Jentzsch–Szegő type theorem for row sequences of Hermite–Padé approximants is given.