Estimating the error of Gauss-Turán quadrature formulas using their extensions
Electronic transactions on numerical analysis, Tome 41 (2014), pp. 1-12
We consider extensions of Kronrod-type and extensions obtained by generalized averaged Gaussian quadrature formulas for Gauss-Turán quadrature formulas. Existence and uniqueness of these extensions are considered. Their numerical construction is proposed. It is the first general method and is based on a combination of well-known numerical methods for Gauss-Turán, Gauss, Gauss-Kronrod, Anti-Gauss, and generalized averaged Gaussian quadratures. We employ these extensions for estimating the remainder terms in the Gauss-Turán quadratures. Numerical results are presented.
@article{ETNA_2014__41__a25,
author = {Cvetkovi\'c, Aleksandar S. and Spalevi\'c, Miodrag M.},
title = {Estimating the error of {Gauss-Tur\'an} quadrature formulas using their extensions},
journal = {Electronic transactions on numerical analysis},
pages = {1--12},
year = {2014},
volume = {41},
zbl = {1295.65031},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2014__41__a25/}
}
TY - JOUR AU - Cvetković, Aleksandar S. AU - Spalević, Miodrag M. TI - Estimating the error of Gauss-Turán quadrature formulas using their extensions JO - Electronic transactions on numerical analysis PY - 2014 SP - 1 EP - 12 VL - 41 UR - http://geodesic.mathdoc.fr/item/ETNA_2014__41__a25/ LA - en ID - ETNA_2014__41__a25 ER -
%0 Journal Article %A Cvetković, Aleksandar S. %A Spalević, Miodrag M. %T Estimating the error of Gauss-Turán quadrature formulas using their extensions %J Electronic transactions on numerical analysis %D 2014 %P 1-12 %V 41 %U http://geodesic.mathdoc.fr/item/ETNA_2014__41__a25/ %G en %F ETNA_2014__41__a25
Cvetković, Aleksandar S.; Spalević, Miodrag M. Estimating the error of Gauss-Turán quadrature formulas using their extensions. Electronic transactions on numerical analysis, Tome 41 (2014), pp. 1-12. http://geodesic.mathdoc.fr/item/ETNA_2014__41__a25/