Asymptotic zero distribution for a class of extremal polynomials

Díaz González, Abel; López Lagomasino, Guillermo; Pijeira Cabrera, Héctor Esteban

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Asymptotic zero distribution for a class of extremal polynomials

Author(s): Díaz González, Abel; López Lagomasino, Guillermo; Pijeira Cabrera, Héctor Esteban

Publisher: World Scientific Publishing Company

Issued date: 2021-04

Citation: 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.

ISSN: 1664-3607

DOI: https://doi.org/10.1142/S166436071950019X

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)

Sponsor: 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.

Project: Gobierno de España. MTM2015-65888-C4-2-P
Gobierno de España. BES-2016-076613

Keywords: Extremal polynomials , Sobolev orthogonality , Location of zeros , Asymptotic behavior

URI: http://hdl.handle.net/10016/33955

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.
Atribución 3.0 España

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 subse [+]

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