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@article{JSFU_2013_6_3_a2, author = {Kirill A. Kirillov}, title = {On {Error} {Estimates} for {Weighted} {Quadrature} {Formulas} {Exact} for {Haar} {Polynomials}}, journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika}, pages = {298--307}, publisher = {mathdoc}, volume = {6}, number = {3}, year = {2013}, language = {en}, url = {http://geodesic.mathdoc.fr/item/JSFU_2013_6_3_a2/} }
TY - JOUR AU - Kirill A. Kirillov TI - On Error Estimates for Weighted Quadrature Formulas Exact for Haar Polynomials JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2013 SP - 298 EP - 307 VL - 6 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2013_6_3_a2/ LA - en ID - JSFU_2013_6_3_a2 ER -
%0 Journal Article %A Kirill A. Kirillov %T On Error Estimates for Weighted Quadrature Formulas Exact for Haar Polynomials %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2013 %P 298-307 %V 6 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2013_6_3_a2/ %G en %F JSFU_2013_6_3_a2
Kirill A. Kirillov. On Error Estimates for Weighted Quadrature Formulas Exact for Haar Polynomials. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 3, pp. 298-307. http://geodesic.mathdoc.fr/item/JSFU_2013_6_3_a2/
[1] I. M. Sobol', Multidimensional Quadrature Formulas and Haar Functions, Nauka, M., 1969 (in Russian) | MR
[2] K. A. Kirillov, M. V. Noskov, “Minimal quadrature formulas accurate for Haar polynomials”, Comput. Math. Math. Phys., 42:6 (2002), 758–766 | MR | Zbl
[3] K. A. Kirillov, “Estimates for the norm of the error functional of quadrature formulas exact for Haar polynomials”, J. of Siberian Federal University, Mathematics Physics, 4:4 (2011), 479–488 (in Russian)
[4] K. A. Kirillov, “On the error estimates of weighted minimal quadrature formulas exact for Haar functions”, Vychislitelnye tekhnologii, 11, special issue (2006), 44–50 (in Russian) | MR | Zbl
[5] K. A. Kirillov, “Minimal cubature formulas exact for Haar polynomials in $\mathbb{R}^2$”, Problemy matematicheskogo analiza, 6, Krasnoyarskii Gosudarstvennyi Tekhnicheskii Universitet, Krasnoyarsk, 2003, 108–117 (in Russian)
[6] K. A. Kirillov, “Lower estimates for node number of cubature formulas exact for Haar polynomials in two-dimensional case”, Vychislitelnye tekhnologii, 9, special issue (2004), 62–71 (in Russian) | Zbl
[7] K. A. Kirillov, “Construction of minimal cubature formulas exact for Haar polynomials of high degrees in two-dimensional case”, Vychislitelnye tekhnologii, 10, special issue (2005), 29–47 (in Russian) | Zbl
[8] M. V. Noskov, K. A. Kirillov, “Minimal cubature formulas exact for Haar polynomials”, J. of Approximation Theory, 162:3 (2010), 615–627 | DOI | MR | Zbl
[9] K. A. Kirillov, “Minimal cubature formulas exact for Haar polynomials of low degrees in two-dimensional case”, Vestnik Krasnoyarskogo Gosudarstvennogo Agrarnogo Universiteta, 2012, no. 10, 7–12 (in Russian) | Zbl
[10] K. A. Kirillov, M. V. Noskov, “Error estimates in $S_p$ for cubature formulas exact for Haar polynomials in the two-dimensional case”, Comput. Math. Math. Phys., 49:1 (2009), 1–11 | DOI | MR | Zbl
[11] K. A. Kirillov, “On error estimates for cubature formulas exact for Haar polynomials”, Vestnik Sibirskogo Gosudarstvennogo Aerokosmicheskogo Universiteta, 2012, no. 2, 33–36 (in Russian) | MR
[12] A. Haar, “Zur theorie der orthogonalen funktionensysteme”, Math. Ann., 69 (1910), 331–371 | DOI | MR | Zbl
[13] L. V. Kantorovich, G. P. Akilov, Functional Analysis, Nauka, M., 1984 (in Russian) | MR | Zbl
[14] I. M. Sobol', “Weighted quadrature formulas”, Siberian Math. J., 19:5 (1978), 844–847 | DOI | MR