On minimal cubature formulas exact for Haar polynomials of low degrees in the two-dimensional case
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 3, pp. 318-323
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A lower estimate for number of nodes of cubature formulas possessing the Haar $d$-property ($d \geqslant 2$) is obtained in the two-dimensional case. Examples of minimal cubature formulas with Haar $d$-property for $d=2$ and $d=3$ are given.
Keywords:
minimal cubature formulas, Haar functions, Haar polynomials, Haar $d$-property.
@article{JSFU_2014_7_3_a5,
author = {Kirill A. Kirillov},
title = {On minimal cubature formulas exact for {Haar} polynomials of low degrees in the two-dimensional case},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {318--323},
publisher = {mathdoc},
volume = {7},
number = {3},
year = {2014},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2014_7_3_a5/}
}
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%0 Journal Article %A Kirill A. Kirillov %T On minimal cubature formulas exact for Haar polynomials of low degrees in the two-dimensional case %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2014 %P 318-323 %V 7 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2014_7_3_a5/ %G en %F JSFU_2014_7_3_a5
Kirill A. Kirillov. On minimal cubature formulas exact for Haar polynomials of low degrees in the two-dimensional case. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 3, pp. 318-323. http://geodesic.mathdoc.fr/item/JSFU_2014_7_3_a5/