Asymptotic zero distribution for a class of extremal polynomials

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dc.contributor.author Díaz González, Abel
dc.contributor.author López Lagomasino, Guillermo
dc.contributor.author Pijeira Cabrera, Héctor Esteban
dc.date.accessioned 2022-01-25T11:48:11Z
dc.date.available 2022-01-25T11:48:11Z
dc.date.issued 2021-04
dc.identifier.bibliographicCitation Díaz González, A., López Lagomasino, G. & Pijeira Cabrera, H. (2020). Asymptotic zero distribution for a class of extremal polynomials. Bulletin of Mathematical Sciences, 11(01), 1950019.
dc.identifier.issn 1664-3607
dc.identifier.uri http://hdl.handle.net/10016/33955
dc.description.abstract We consider extremal polynomials with respect to a Sobolev-type p-norm, with 1and measures supported on compact subsets of the real line. For a wide class of such extremal polynomials with respect to mutually singular measures (i.e. supported on disjoint subsets of the real line), it is proved that their critical points are simple and contained in the interior of the convex hull of the support of the measures involved and the asymptotic critical point distribution is studied. We also find the nth root asymptotic behavior of the corresponding sequence of Sobolev extremal polynomials and their derivatives.
dc.description.sponsorship A.D.G. was supported by the Research Fellowship Program, Ministerio de Economía, Industria y Competitividad of Spain, under grant BES-2016-076613. The authors G.L.L. and H.P.C. were supported by the Ministerio de Economía, Industria y Competitividad of Spain, under grant MTM2015-65888-C4-2-P.
dc.format.extent 18
dc.language.iso eng
dc.publisher World Scientific Publishing Company
dc.rights © The Author(s). This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
dc.rights Atribución 3.0 España
dc.rights.uri http://creativecommons.org/licenses/by/3.0/es/
dc.subject.other Extremal polynomials
dc.subject.other Sobolev orthogonality
dc.subject.other Location of zeros
dc.subject.other Asymptotic behavior
dc.title Asymptotic zero distribution for a class of extremal polynomials
dc.type article
dc.subject.eciencia Matemáticas
dc.identifier.doi https://doi.org/10.1142/S166436071950019X
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. MTM2015-65888-C4-2-P
dc.relation.projectID Gobierno de España. BES-2016-076613
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 1950019-1
dc.identifier.publicationissue 1
dc.identifier.publicationlastpage 1950019-18
dc.identifier.publicationtitle Bulletin of Mathematical Sciences
dc.identifier.publicationvolume 11
dc.identifier.uxxi AR/0000026478
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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