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Статья
2013

Weighted spherical semidesigns and cubature formulae for calculating integrals on a sphere


N. O. KotelinaN. O. Kotelina, A. B. PevnyiA. B. Pevnyi
Русская математика
https://doi.org/10.3103/S1066369X13020059
Abstract / Full Text

In this paper we study weighted spherical semidesigns, i.e., systems of points on a sphere of a specific type. We propose a new proof of the necessary and sufficient condition for a system of points on a sphere to be a weighted spherical semidesign. This criterion gives new approaches to the construction of cubature formulae for calculating integrals over a sphere with the degree of accuracy of 5 and 9.

Author information
  • Syktyvkar State University, Oktyabr’skii pr. 55, Syktyvkar, 167001, RussiaN. O. Kotelina & A. B. Pevnyi
References
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