Geodesic
Asymptotics for extremal polynomials with varying measures
Electronic transactions on numerical analysis, Tome 19 (2005), pp. 29-36.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we give strong asymptotics of extremal polynomials with respect to varying measures of the form d$\sigma n = d\sigma $, where $\sigma $is a positive measure on a closed analytic Jordan curve C, and Y |Y |p n is a n sequence of polynomials such that for each n, Yn has exactly degree n and all its zeros $(\alpha n,i)$, i = 1, 2, . . ., lie in the exterior of C.
Classification : 30E10, 41A20, 42C05
Keywords: rational approximation, orthogonal polynomials, varying measures 
@article{ETNA_2005__19__a7,
     author = {Bello Hern\'andez, M. and M{\'\i}nguez Ceniceros, J.},
     title = {Asymptotics for extremal polynomials with varying measures},
     journal = {Electronic transactions on numerical analysis},
     pages = {29--36},
     publisher = {mathdoc},
     volume = {19},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2005__19__a7/}
}
TY  - JOUR
AU  - Bello Hernández, M.
AU  - Mínguez Ceniceros, J.
TI  - Asymptotics for extremal polynomials with varying measures
JO  - Electronic transactions on numerical analysis
PY  - 2005
SP  - 29
EP  - 36
VL  - 19
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ETNA_2005__19__a7/
LA  - en
ID  - ETNA_2005__19__a7
ER  - 
%0 Journal Article
%A Bello Hernández, M.
%A Mínguez Ceniceros, J.
%T Asymptotics for extremal polynomials with varying measures
%J Electronic transactions on numerical analysis
%D 2005
%P 29-36
%V 19
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ETNA_2005__19__a7/
%G en
%F ETNA_2005__19__a7
Bello Hernández, M.; Mínguez Ceniceros, J. Asymptotics for extremal polynomials with varying measures. Electronic transactions on numerical analysis, Tome 19 (2005), pp. 29-36. http://geodesic.mathdoc.fr/item/ETNA_2005__19__a7/