Zero location and asymptotic behavior for extremal polynomials with non-diagonal Sobolev norms-Reference-Cited by-同舟云学术

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Zero location and asymptotic behavior for extremal polynomials with non-diagonal Sobolev norms

Published:2010-12 Issue:12 Volume:162 Page:2225-2242
ISSN:0021-9045
Container-title:Journal of Approximation Theory
language:en
Short-container-title:Journal of Approximation Theory

Author:

Portilla Ana,Quintana Yamilet,Rodríguez José M.,Tourís Eva

Funder

Ministerio de Ciencia e Innovación

M.E.C.

U.C.IIIM./C.A.M.

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference25 articles.

1. Sobolev-type orthogonal polynomials: the non-diagonal case;Alfaro;J. Approx. Theory,1995

2. Weighted Sobolev spaces on curves;Alvarez;J. Approx. Theory,2002

3. Asymptotic behavior of Sobolev type orthogonal polynomials on a rectifiable Jordan curve or arc;Branquinho;Constr. Approx.,2002

4. Orthogonal polynomials of Sobolev type on the unit circle;Cachafeiro;J. Approx. Theory,1994

5. Boundedness properties for Sobolev inner products;Castro;J. Approx. Theory,2003

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1. Weighted Sobolev spaces: Markov-type inequalities and duality;Bulletin of Mathematical Sciences;2017-03-25

2. Zeros of Sobolev Orthogonal Polynomials via Muckenhoupt Inequality with Three Measures;Acta Applicandae Mathematicae;2015-02-21

3. Measurable diagonalization of positive definite matrices;Journal of Approximation Theory;2014-09

4. Asymptotics for Laguerre–Sobolev type orthogonal polynomials modified within their oscillatory regime;Applied Mathematics and Computation;2014-06

5. Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials;Journal of Mathematical Analysis and Applications;2013-11

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