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Matematicheskie Zametki, 1969, Volume 6, Issue 5, Pages 627–632 (Mi mzm6971)  
Estimate of the remainder of a cubature formula for a hypersphere

I. P. Mysovskikh

Leningrad State University named after A. A. Zhdanov
Full-text PDF (332 kB)
Abstract: An estimate is given for the remainder term of a cubature formula of special type for calculating an integral over an $n$-dimensional sphere. The algebraic degree of precision of the formula is the highest among formulas of this type and is equal to $4p-1$. Appearing in the estimate is an upper bound of the absolute values of all the partial derivatives of the integrand function of order $4p$ in the domain of integration.
Received: 24.01.1969
English version:
Mathematical Notes, 1969, Volume 6, Issue 5, Pages 839–842
DOI: https://doi.org/10.1007/BF01101414
Bibliographic databases:
UDC: 518
Language: Russian
Citation: I. P. Mysovskikh, “Estimate of the remainder of a cubature formula for a hypersphere”, Mat. Zametki, 6:5 (1969), 627–632; Math. Notes, 6:5 (1969), 839–842
Citation in format AMSBIB
\Bibitem{Mys69}
\by I.~P.~Mysovskikh
\paper Estimate of the remainder of a~cubature formula for a~hypersphere
\jour Mat. Zametki
\yr 1969
\vol 6
\issue 5
\pages 627--632
\mathnet{http://mi.mathnet.ru/mzm6971}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=261781}
\zmath{https://zbmath.org/?q=an:0198.49505|0191.45003}
\transl
\jour Math. Notes
\yr 1969
\vol 6
\issue 5
\pages 839--842
\crossref{https://doi.org/10.1007/BF01101414}
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    		Математические заметки Mathematical Notes
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