Geodesic
Estimates for the norm of the error functional in $H_\alpha$ for cubature formulas which exact for Haar polynomials in the two-dimensional case
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 3, pp. 382-387.

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In the two-dimensional case upper estimates of the norm of the error functional in $H_\alpha$.
Keywords: Haar $d$-property, error functional of cubature formula, function spaces $H_\alpha$. 
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Kirill A. Kirillov. Estimates for the norm of the error functional in $H_\alpha$ for cubature formulas which exact for Haar polynomials in the two-dimensional case. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 3, pp. 382-387. http://geodesic.mathdoc.fr/item/JSFU_2012_5_3_a9/

[1] I. M. Sobol, Mnogomernye kvadraturnye formuly i funktsii Khaara, Nauka, M., 1969 | MR

[2] K. A. Kirillov, M. V. Noskov, “Minimalnye kvadraturnye formuly, tochnye dlya polinomov Khaara”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 42:6 (2002), 791–799 | MR | Zbl

[3] K. A. Kirillov, “Postroenie minimalnykh kubaturnykh formul, tochnykh dlya polinomov Khaara vysshikh stepenei v dvumernom sluchae”, Vychislitelnye tekhnologii, 10, spets. vypusk (2005), 29–47 | Zbl

[4] M. V. Noskov, K. A. Kirillov, “Minimal cubature formulas exact for Haar polynomials”, Journal of Approximation Theory, 162:3 (2010), 615–627 | DOI | MR | Zbl

[5] K. A. Kirillov, “Algoritm postroeniya minimalnykh kubaturnykh formul, obladayuschikh $d$-svoistvom Khaara v dvumernom sluchae”, Zhurnal SFU, Ser. “Matematika i fizika”, 3:2 (2010), 205–215

[6] K. A. Kirillov, M. V. Noskov, “Otsenki pogreshnosti na prostranstvakh $S_{p}$ kubaturnykh formul, tochnykh dlya polinomov Khaara v dvumernom sluchae”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 49:1 (2009), 3–13 | MR | Zbl

[7] A. Haar, “Zur Theorie der orthogonalen Funktionensysteme”, Math. Ann., 69 (1910), 331–371 | DOI | MR | Zbl