Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607724 | Journal of Approximation Theory | 2010 | 18 Pages |
Abstract
In this paper we are going to study the zero location and asymptotic behavior of extremal polynomials with respect to a non-diagonal Sobolev norm in the worst case, i.e., when the quadratic form is allowed to degenerate. The orthogonal polynomials with respect to this Sobolev norm are a particular case of those extremal polynomials. The multiplication operator by the independent variable is the main tool in order to obtain our results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ana Portilla, Yamilet Quintana, José M. Rodríguez, Eva Tourís,