Name
Abstract | ||
|---|---|---|
We prove the relative asymptotic behavior for the ratio of two sequences of multiple orthogonal polynomials with respect to the Nikishin systems of measures. The first Nikishin system N(@s"1,...,@s"m) is such that for each k, @s"k has a constant sign on its compact support supp(@s"k)@?R consisting of an interval @D@?"k, on which |@s"k^'|0 almost everywhere, and a discrete set without accumulation points in R@?@D@?"k. If Co(supp(@s"k))=@D"k denotes the smallest interval containing supp(@s"k), we assume that @D"k@?@D"k"+"1=0@?, k=1,...,m-1. The second Nikishin system N(r"1@s"1,...,r"m@s"m) is a perturbation of the first by means of rational functions r"k, k=1,...,m, whose zeros and poles lie in C@?@?"k"="1^m@D"k. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.jat.2008.09.002 | Journal of Approximation Theory |
Keywords | Field | DocType |
smallest interval,accumulation point,relative asymptotic behavior,discrete set,multiple orthogonal polynomial,nikishin system,compact support supp,rational function,constant sign,orthogonal polynomial | Discrete mathematics,Combinatorics,Orthogonal polynomials,Mathematical analysis,Almost everywhere,Rational function,Asymptotic analysis,Mathematics | Journal |
Volume | Issue | ISSN |
158 | 2 | 0021-9045 |
Citations | PageRank | References |
1 | 0.43 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Abey López García | 1 | 1 | 1.11 |
| Guillermo López Lagomasino | 2 | 7 | 4.99 |