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Journal of Siberian Federal University. Mathematics & Physics, 2008, Volume 1, Issue 3, Pages 296–307 (Mi jsfu30)  

This article is cited in 1 scientific paper (total in 1 paper)

On the Order of Convergence of Quadrature Formulae on Functions in the Spaces of Riesz Potential

Mariya I. Medvedeva

Institute of Space and Information Technologies, Siberian Federal University
Full-text PDF (332 kB) Citations (1)
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Abstract: We establish an unimprovable lower estimate for the errors of quadrature formulae with no restrictions on nodes and coefficients with integrating the Riesz potentials.
Keywords: quadrature formulas, error functionals, sequences of functionals, Riesz potential.
Received: 15.03.2008
Received in revised form: 05.05.2008
Accepted: 05.06.2008
UDC: 517+518.392
Language: Russian
Citation: Mariya I. Medvedeva, “On the Order of Convergence of Quadrature Formulae on Functions in the Spaces of Riesz Potential”, J. Sib. Fed. Univ. Math. Phys., 1:3 (2008), 296–307
Citation in format AMSBIB
\Bibitem{Med08}
\by Mariya~I.~Medvedeva
\paper On the Order of Convergence of Quadrature Formulae on Functions in the Spaces of Riesz Potential
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2008
\vol 1
\issue 3
\pages 296--307
\mathnet{http://mi.mathnet.ru/jsfu30}
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  • https://www.mathnet.ru/eng/jsfu/v1/i3/p296
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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    Abstract page:387
    Full-text PDF :104
    References:79
     
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