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Peculiarities of the numerical realization of unsaturated quadrature formulas on a finite interval


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Abstract

We find a sufficient condition for a weighted unsaturated quadrature formula to be well-conditioned and calculate the sum of the moduli of its quadrature coefficients for any p-integrable weight function with 1 < p < ∞ on a finite interval.

About the authors

V. N. Belykh

Sobolev Institute of Mathematics

Author for correspondence.
Email: belykh@math.nsc.ru
Russian Federation, Novosibirsk

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