Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 38 (2013) no. 1
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G. V. Milovanović. Families of Euler-Maclaurin formulae for composite Gauss-Legendre and Lobatto quadratures. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 38 (2013) no. 1. http://geodesic.mathdoc.fr/item/BASS_2013_38_1_a4/
@article{BASS_2013_38_1_a4,
author = {G. V. Milovanovi\'c},
title = {Families of {Euler-Maclaurin} formulae for composite {Gauss-Legendre} and {Lobatto} quadratures},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {63 - 81},
year = {2013},
volume = {38},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BASS_2013_38_1_a4/}
}
TY - JOUR
AU - G. V. Milovanović
TI - Families of Euler-Maclaurin formulae for composite Gauss-Legendre and Lobatto quadratures
JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
PY - 2013
SP - 63
EP - 81
VL - 38
IS - 1
UR - http://geodesic.mathdoc.fr/item/BASS_2013_38_1_a4/
ID - BASS_2013_38_1_a4
ER -
%0 Journal Article
%A G. V. Milovanović
%T Families of Euler-Maclaurin formulae for composite Gauss-Legendre and Lobatto quadratures
%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2013
%P 63 - 81
%V 38
%N 1
%U http://geodesic.mathdoc.fr/item/BASS_2013_38_1_a4/
%F BASS_2013_38_1_a4
Beside a short account on the Euler-Maclaurin formula, using a recent progress in variable-precision arithmetic and symbolic computation and the corresponding {c Mathematica} package {t Ort-ho-go-nal-Po-ly-no-mi-als} $[$Facta Univ. Ser. Math. Inform. {\bf19} $(2004)$, $17-36;$ Math. Balkanica {\bf 26} $(2012)$, $169-184]$, we obtain extensions of the Euler-Maclaurin formula for the composite (shifted) Gauss-Legendre formula, as well as for its Lobatto modification. Some special cases are also presented.
