This article is cited in 1 paper

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

V. N. Belykh

Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: We find a sufficient condition for a weighted unsaturated quadrature formula to be wellconditioned and calculate the sum of the moduli of its quadrature coefficients for any $p$-integrable weight function with $1<p<\infty$ on a finite interval.

Keywords: unsaturated quadrature formula, round-off error, good conditionality.

UDC: 519.644+517.518.85

MSC: 35R30

Received: 18.05.2017

DOI: 10.17377/smzh.2017.58.504

 English version: Siberian Mathematical Journal, 2017, 58:5, 778–785

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