Sobolev orthogonal polynomials in the complex plane |
| |
| Affiliation: | 1. Departamento de Matematicas, Universidad Carlos III de Madrid, Av. de la Universidad, 30, 28911, Leganés, Madrid, Spain;2. Universidad de Matanzas, Autopista de Varadero, Km. 3, 44740, Matanzas, Cuba;3. Universidad de La Habana, San Lázaro y L, Habana 4, Cuba |
| |
| Abstract: | Sobolev orthogonal polynomials with respect to measures supported on compact subsets of the complex plane are considered. For a wide class of such Sobolev orthogonal polynomials, it is proved that their zeros are contained in a compact subset of the complex plane and their asymptotic-zero distribution is studied. We also find the nth-root asymptotic behavior of the corresponding sequence of Sobolev orthogonal polynomials. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
