This article is cited 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

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.

UDC: 517+518.392

Received: 15.03.2008
Received in revised form: 05.05.2008
Accepted: 05.06.2008