Concerning Asymptotic Behavior for Extremal Polynomials Associated to Nondiagonal Sobolev Norms
Let ℙ be the space of polynomials with complex coefficients endowed with a nondiagonal Sobolev norm ∥ · ∥W1,p(Vμ), where the matrix V and the measure μ constitute a p-admissible pair for 1≤p≤∞. In this paper we establish the zero location and asymptotic behavior of extremal polynomials associated to...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/628031 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551773599956992 |
|---|---|
| author | Ana Portilla Yamilet Quintana José M. Rodríguez Eva Tourís |
| author_facet | Ana Portilla Yamilet Quintana José M. Rodríguez Eva Tourís |
| author_sort | Ana Portilla |
| collection | DOAJ |
| description | Let ℙ be the space of polynomials with complex coefficients endowed with a nondiagonal
Sobolev norm ∥ · ∥W1,p(Vμ), where the matrix V and the measure μ constitute a p-admissible pair for
1≤p≤∞. In this paper we establish the zero location and asymptotic behavior of extremal polynomials
associated to ∥ · ∥W1,p(Vμ), stating hypothesis on the matrix V rather than on the diagonal matrix appearing in its unitary factorization. |
| format | Article |
| id | doaj-art-ee19fe42dce44368b23da20fd96cb982 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-ee19fe42dce44368b23da20fd96cb9822025-02-03T06:00:33ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/628031628031Concerning Asymptotic Behavior for Extremal Polynomials Associated to Nondiagonal Sobolev NormsAna Portilla0Yamilet Quintana1José M. Rodríguez2Eva Tourís3Faculty Mathematics and Computer Science, St. Louis University (Madrid Campus), Avenida del Valle 34, 28003 Madrid, SpainDepartamento de Matemáticas Puras y Aplicadas, Edificio Matemáticas y Sistemas (MYS), Universidad Simón Bolívar, Apartado Postal 89000, Caracas 1080 A, VenezuelaDepartamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, Leganés, 28911 Madrid, SpainDepartamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, Campus de Cantoblanco, 28049 Madrid, SpainLet ℙ be the space of polynomials with complex coefficients endowed with a nondiagonal Sobolev norm ∥ · ∥W1,p(Vμ), where the matrix V and the measure μ constitute a p-admissible pair for 1≤p≤∞. In this paper we establish the zero location and asymptotic behavior of extremal polynomials associated to ∥ · ∥W1,p(Vμ), stating hypothesis on the matrix V rather than on the diagonal matrix appearing in its unitary factorization.http://dx.doi.org/10.1155/2013/628031 |
| spellingShingle | Ana Portilla Yamilet Quintana José M. Rodríguez Eva Tourís Concerning Asymptotic Behavior for Extremal Polynomials Associated to Nondiagonal Sobolev Norms Journal of Function Spaces and Applications |
| title | Concerning Asymptotic Behavior for Extremal Polynomials Associated to Nondiagonal Sobolev Norms |
| title_full | Concerning Asymptotic Behavior for Extremal Polynomials Associated to Nondiagonal Sobolev Norms |
| title_fullStr | Concerning Asymptotic Behavior for Extremal Polynomials Associated to Nondiagonal Sobolev Norms |
| title_full_unstemmed | Concerning Asymptotic Behavior for Extremal Polynomials Associated to Nondiagonal Sobolev Norms |
| title_short | Concerning Asymptotic Behavior for Extremal Polynomials Associated to Nondiagonal Sobolev Norms |
| title_sort | concerning asymptotic behavior for extremal polynomials associated to nondiagonal sobolev norms |
| url | http://dx.doi.org/10.1155/2013/628031 |
| work_keys_str_mv | AT anaportilla concerningasymptoticbehaviorforextremalpolynomialsassociatedtonondiagonalsobolevnorms AT yamiletquintana concerningasymptoticbehaviorforextremalpolynomialsassociatedtonondiagonalsobolevnorms AT josemrodriguez concerningasymptoticbehaviorforextremalpolynomialsassociatedtonondiagonalsobolevnorms AT evatouris concerningasymptoticbehaviorforextremalpolynomialsassociatedtonondiagonalsobolevnorms |