Geodesic
Internality of generalized averaged Gauss rules and their truncations for Bernstein-Szegő weights
Electronic transactions on numerical analysis, Tome 45 (2016), pp. 405-419
Generalized averaged Gauss quadrature formulas may have nodes outside the interval of integration. Quadrature rules with nodes outside the interval of integration cannot be applied to approximate integrals with an integrand that is defined on the interval of integration only. This paper investigates when generalized averaged Gauss quadrature rules for Bernstein-Szegő weight functions have all nodes in the interval of integration. Also truncated variants of these quadrature rules are considered. The relation between generalized averaged Gauss quadrature formulas and Gauss-Kronrod rules is explored.
Classification : 65D32, 65D30
Keywords: Gauss quadrature, averaged Gauss quadrature, truncated generalized averaged Gauss quadrature, internality of quadrature rule 
@article{ETNA_2016__45__a5,
     author = {Djuki\'c,  D.Lj. and Reichel,  L. and Spalevi\'c,  M.M. and Tomanovi\'c,  J.D.},
     title = {Internality of generalized averaged {Gauss} rules and their truncations for {Bernstein-Szeg\H{o}} weights},
     journal = {Electronic transactions on numerical analysis},
     pages = {405--419},
     year = {2016},
     volume = {45},
     zbl = {1355.65043},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2016__45__a5/}
}
TY  - JOUR
AU  - Djukić,  D.Lj.
AU  - Reichel,  L.
AU  - Spalević,  M.M.
AU  - Tomanović,  J.D.
TI  - Internality of generalized averaged Gauss rules and their truncations for Bernstein-Szegő weights
JO  - Electronic transactions on numerical analysis
PY  - 2016
SP  - 405
EP  - 419
VL  - 45
UR  - http://geodesic.mathdoc.fr/item/ETNA_2016__45__a5/
LA  - en
ID  - ETNA_2016__45__a5
ER  - 
%0 Journal Article
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%A Reichel,  L.
%A Spalević,  M.M.
%A Tomanović,  J.D.
%T Internality of generalized averaged Gauss rules and their truncations for Bernstein-Szegő weights
%J Electronic transactions on numerical analysis
%D 2016
%P 405-419
%V 45
%U http://geodesic.mathdoc.fr/item/ETNA_2016__45__a5/
%G en
%F ETNA_2016__45__a5
Djukić,  D.Lj.; Reichel,  L.; Spalević,  M.M.; Tomanović,  J.D. Internality of generalized averaged Gauss rules and their truncations for Bernstein-Szegő weights. Electronic transactions on numerical analysis, Tome 45 (2016), pp. 405-419. http://geodesic.mathdoc.fr/item/ETNA_2016__45__a5/