Geodesic
On the Order of Convergence of Quadrature Formulae on Functions in the Spaces of Riesz Potential
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 3, pp. 296-307

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We establish an unimprovable lower estimate for the errors of quadrature formulae with no restrictions on nodes and coefficients with integrating the Riesz potentials.
Mots-clés : quadrature formulas
Keywords: error functionals, sequences of functionals, Riesz potential. 
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     title = {On the {Order} of {Convergence} of {Quadrature} {Formulae} on {Functions} in the {Spaces} of {Riesz} {Potential}},
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Mariya I. Medvedeva. On the Order of Convergence of Quadrature Formulae on Functions in the Spaces of Riesz Potential. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 3, pp. 296-307. http://geodesic.mathdoc.fr/item/JSFU_2008_1_3_a8/