Geodesic
Minimal Weighted $4$-Designs on the Sphere $S^2$
Matematičeskie zametki, Tome 91 (2012) no. 5, pp. 787-790 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Keywords: minimal weighted $t$-design
Mots-clés : cubature formula, algebraic polynomial, Gegenbauer polynomial, Jacobi polynomial, Legendre polynomial. 
@article{MZM_2012_91_5_a15,
     author = {A. V. Bondarenko and D. V. Gorbachev},
     title = {Minimal {Weighted} $4${-Designs} on the {Sphere~}$S^2$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {787--790},
     year = {2012},
     volume = {91},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a15/}
}
TY  - JOUR
AU  - A. V. Bondarenko
AU  - D. V. Gorbachev
TI  - Minimal Weighted $4$-Designs on the Sphere $S^2$
JO  - Matematičeskie zametki
PY  - 2012
SP  - 787
EP  - 790
VL  - 91
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a15/
LA  - ru
ID  - MZM_2012_91_5_a15
ER  - 
%0 Journal Article
%A A. V. Bondarenko
%A D. V. Gorbachev
%T Minimal Weighted $4$-Designs on the Sphere $S^2$
%J Matematičeskie zametki
%D 2012
%P 787-790
%V 91
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a15/
%G ru
%F MZM_2012_91_5_a15
A. V. Bondarenko; D. V. Gorbachev. Minimal Weighted $4$-Designs on the Sphere $S^2$. Matematičeskie zametki, Tome 91 (2012) no. 5, pp. 787-790. http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a15/

[1] D. V. Gorbachev, Izv. TulGU. Ser. Matem. Mekh. Inform., 5:3 (1999), 33–37 | MR

[2] D. V. Gorbachev, Izv. TulGU. Ser. Estestv. nauki, 2010, no. 2, 15–23

[3] A. Bondarenko, D. Radchenko, M. Viazovska, Optimal Asymptotic Bounds for Spherical Designs, 2011, arXiv: math.MG/1009.4407v3

[4] I. P. Mysovskikh, Interpolyatsionnye kubaturnye formuly, Nauka, M., 1981 | MR | Zbl

[5] N. N. Andreev, Matem. zametki, 67:4 (2000), 489–497 | MR | Zbl

[6] P. Delsarte, J. M. Goethals, J. J. Seidel, Geom. Dedicata, 6:3 (1977), 363–388 | DOI | MR | Zbl

[7] V. A. Yudin, Izv. RAN. Ser. matem., 61:3 (1997), 213–223 | MR | Zbl

[8] S. Heo, Y. Xu, J. Comput. Appl. Math., 112:1-2 (1999), 95–119 | MR | Zbl