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Matematicheskie Zametki, 1969, Volume 5, Issue 3, Pages 317–322 (Mi mzm6850)  
Some estimates of norms of functionals of cubature formula errors

V. I. Polovinkin

Novosibirsk State University
Full-text PDF (340 kB)
Abstract: It is shown that sequences of cubature formulas with a regular boundary layer are asymptotically optimal in the classes of functions $\mathring L_2^{(m)}(\Omega)$.
Received: 18.03.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 3, Pages 192–195
DOI: https://doi.org/10.1007/BF01388625
Bibliographic databases:
UDC: 518
Language: Russian
Citation: V. I. Polovinkin, “Some estimates of norms of functionals of cubature formula errors”, Mat. Zametki, 5:3 (1969), 317–322; Math. Notes, 5:3 (1969), 192–195
Citation in format AMSBIB
\Bibitem{Pol69}
\by V.~I.~Polovinkin
\paper Some estimates of norms of functionals of cubature formula errors
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 3
\pages 317--322
\mathnet{http://mi.mathnet.ru/mzm6850}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=267762}
\zmath{https://zbmath.org/?q=an:0186.38101}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 3
\pages 192--195
\crossref{https://doi.org/10.1007/BF01388625}
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