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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.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    V. N. Belykh

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  1. V. N. Belykh
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Correspondence to V. N. Belykh.

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Original Russian Text Copyright © 2017 Belykh V.N.

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 58, No. 5, pp. 1004–1015, September–October, 2017; DOI: 10.17377/smzh.2017.58.504.

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Belykh, V.N. Peculiarities of the numerical realization of unsaturated quadrature formulas on a finite interval. Sib Math J 58, 778–785 (2017). https://doi.org/10.1134/S0037446617050044

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  • DOI: https://doi.org/10.1134/S0037446617050044

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