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Asymptotics for extremal polynomials with varying measures
- Source :
- Scopus-Elsevier, RIUR: Repositorio Institucional de la Universidad de La Rioja, Universidad de La Rioja (UR), RIUR. Repositorio Institucional de la Universidad de La Rioja, instname
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Abstract
- In this paper, we give strong asymptotics of extremal polynomials with respect to varying measures of the form d n = d/|Y n| p, where is a positive measure on a closed analytic Jordan curve C, and {Y n} is a sequence of polynomials such that for each n, Y n has exactly degree n and all its zeros ( n, i), i = 1, 2, ..., lie in the exterior of C. Copyright © 2005, Kent State University.
- Subjects :
- Rational Approximation
Varying Measures
Orthogonal Polynomials
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Scopus-Elsevier, RIUR: Repositorio Institucional de la Universidad de La Rioja, Universidad de La Rioja (UR), RIUR. Repositorio Institucional de la Universidad de La Rioja, instname
- Accession number :
- edsair.dedup.wf.001..78621eee31dd60731398e1e4d23c1837