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Interpolation-type quadrature formulas for hypersingular integrals in the interval of integration

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Abstract

A hypersingular integral on the interval of integration with a weight function is considered. Spectral ratios for hypersingular integrals on the interval [−1, 1] are proved. Interpolationtype quadrature formulas for certain integrals with weight functions are constructed. The error is estimated.

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Authors and Affiliations

  1. South Mathematical Institute, Department of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, ul. Vatutina 53, Vladikavkaz, North Ossetia-Alania Republic, 362025, Russia

    L. Yu. Plieva

  2. Khetagurov North Ossetia State University, ul. Vatutina 44, Vladikavkaz, North Ossetia-Alania Republic, 362025, Russia

    L. Yu. Plieva

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  1. L. Yu. Plieva
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Correspondence to L. Yu. Plieva.

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Original Russian Text © L.Yu. Plieva, 2016, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2016, Vol. 19, No. 4, pp. 419–428.

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Plieva, L.Y. Interpolation-type quadrature formulas for hypersingular integrals in the interval of integration. Numer. Analys. Appl. 9, 326–334 (2016). https://doi.org/10.1134/S1995423916040066

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  • DOI: https://doi.org/10.1134/S1995423916040066

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