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