A new approach to relative asymptotic behavior for discrete Sobolev-type orthogonal polynomials on the unit circle

作者：Castillo Kenier^*

来源：Applied Mathematics Letters, 2012, 25(6): 1000-1004.

DOI：10.1016/j.aml.2011.11.015

• Sobolev inner product
• Orthogonal polynomials on the unit circle
• Nevai-Blumenthal class
• Relative asymptotic

In Foulquie et al. (1999) [2], Li and Marcellan (1996) [4], Marcellan and Moral (2002) [5], the relative asymptotic behavior of orthogonal polynomials with respect to a discrete Sobolev-type inner product on the unit circle was studied. In this paper, we propose an alternative approach to this problem based on the Uvarov spectral transformation.

• 出版日期2012-6