Kragujevac Journal of Mathematics, Tome 30 (2007) no. 1
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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/
@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},
year = {2007},
volume = {30},
number = {1},
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
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
%U http://geodesic.mathdoc.fr/item/KJM_2007_30_1_a15/
%F KJM_2007_30_1_a15
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.
