Geodesic
Weighted Hermite quadrature rules
Electronic transactions on numerical analysis, Tome 45 (2016), pp. 476-498
In this paper, a new representation of Hermite osculatory interpolation is presented in order to construct weighted Hermite quadrature rules. Then, explicit forms of several special cases of the established quadrature are obtained such as weighted Hermite quadrature rules with arithmetic and geometric nodes as well as standard Gauss-Christoffel quadrature rules and Gaussian quadratures rules using only function derivatives. Some numerical examples are also given for the above mentioned cases.
Classification : 65D05, 65D30, 41A55, 65D32
Keywords: weighted Hermite quadrature rule, Hermite interpolation, Gaussian quadrature, divided differences, distribution of nodes 
@article{ETNA_2016__45__a1,
     author = {Masjed-Jamei,  Mohammad and Milovanovi\'c,  Gradimir V.},
     title = {Weighted {Hermite} quadrature rules},
     journal = {Electronic transactions on numerical analysis},
     pages = {476--498},
     year = {2016},
     volume = {45},
     zbl = {1355.65044},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2016__45__a1/}
}
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AU  - Masjed-Jamei,  Mohammad
AU  - Milovanović,  Gradimir V.
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JO  - Electronic transactions on numerical analysis
PY  - 2016
SP  - 476
EP  - 498
VL  - 45
UR  - http://geodesic.mathdoc.fr/item/ETNA_2016__45__a1/
LA  - en
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%0 Journal Article
%A Masjed-Jamei,  Mohammad
%A Milovanović,  Gradimir V.
%T Weighted Hermite quadrature rules
%J Electronic transactions on numerical analysis
%D 2016
%P 476-498
%V 45
%U http://geodesic.mathdoc.fr/item/ETNA_2016__45__a1/
%G en
%F ETNA_2016__45__a1
Masjed-Jamei,  Mohammad; Milovanović,  Gradimir V. Weighted Hermite quadrature rules. Electronic transactions on numerical analysis, Tome 45 (2016), pp. 476-498. http://geodesic.mathdoc.fr/item/ETNA_2016__45__a1/