Error bounds of some Gauss-turan-kronrod quadratures with Gori-micchelli weights for analytic functions
Kragujevac Journal of Mathematics, Tome 30 (2007) no. 1.

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We study the kernels $K_{n,s}(z)$ of the remainder term $R_{n,s}(f)$ of some Gauss--Turán--Kronrod quadrature rules for analytic functions when the weight function is the chosen subclass of Gori--Micchelli weight functions. We investigate the location on the elliptic contours where the modulus of the kernel attains its maximum value, which leads to effective error bounds of Gauss--Turán--Kronrod quadratures.
@article{KJM_2007_30_1_a15,
     author = {Gradimir V. Milovanovi\'c and Miodrag M. Spalevi\'c and Miroslav S. Prani\'c},
     title = {Error bounds of some {Gauss-turan-kronrod} quadratures with {Gori-micchelli} weights for analytic functions},
     journal = {Kragujevac Journal of Mathematics},
     pages = {221 - 234},
     publisher = {mathdoc},
     volume = {30},
     number = {1},
     year = {2007},
     url = {http://geodesic.mathdoc.fr/item/KJM_2007_30_1_a15/}
}
TY  - JOUR
AU  - Gradimir V. Milovanović
AU  - Miodrag M. Spalević
AU  - Miroslav S. Pranić
TI  - Error bounds of some Gauss-turan-kronrod quadratures with Gori-micchelli weights for analytic functions
JO  - Kragujevac Journal of Mathematics
PY  - 2007
SP  - 221 
EP  -  234
VL  - 30
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2007_30_1_a15/
ID  - KJM_2007_30_1_a15
ER  - 
%0 Journal Article
%A Gradimir V. Milovanović
%A Miodrag M. Spalević
%A Miroslav S. Pranić
%T Error bounds of some Gauss-turan-kronrod quadratures with Gori-micchelli weights for analytic functions
%J Kragujevac Journal of Mathematics
%D 2007
%P 221 - 234
%V 30
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2007_30_1_a15/
%F KJM_2007_30_1_a15
Gradimir V. Milovanović; Miodrag M. Spalević; Miroslav S. Pranić. Error bounds of some Gauss-turan-kronrod quadratures with Gori-micchelli weights for analytic functions. Kragujevac Journal of Mathematics, Tome 30 (2007) no. 1. http://geodesic.mathdoc.fr/item/KJM_2007_30_1_a15/