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JOURNALS // Matematicheskie Trudy // Archive
Mat. Tr., 2009 Volume 12, Number 2, Pages 111–125 (Mi mt183)
This article is cited in 1 paper

Approximate calculations of Riesz integrals

M. I. Medvedeva, V. I. Polovinkin

Institute of Space and Information Technologies, Siberian Federal University, Krasnoyarsk, Russia

Abstract: We establish error estimates for quadrature formulas with arbitrary nodes and coefficients which are used for integrating the Riesz potentials.

Key words: quadratic formula, error functional, sequence of functionals, Riesz potential, Riesz integral.

UDC: 517+518.392

Received: 22.06.2008


 English version: Siberian Advances in Mathematics, 2010, 20:3, 180–190

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© Steklov Math. Inst. of RAS, 2025