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Estimate of the remainder of a cubature formula for a hypersphere

✍ Scribed by I. P. Mysovskikh

Publisher: SP MAIK Nauka/Interperiodica
Year: 1969
Tongue: English
Weight: 175 KB
Volume: 6
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01101414

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✍ Srebra B. Stoyanova 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 297 KB

Cubature formulae for evaluating integrals on the hypersphere in R n for n >~5 are obtained, which are exact for any polynomial of degree not exceeding 7, and are invariant with respect to the group of transformations of the regular simplex.

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