This article is cited in 5 papers

Quadrature interpolation type formulas for hypersingular integrals in the interval of integration

L. Yu. Plieva<sup>ab

a</sup> Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, 53 Vatutin str., Vladikavkaz, 362025, Russia
^b K. L. Khetagurov North Ossetian State University, 44 Vatutin str., Vladikavkaz, 362025, Russia

Abstract: A hypersingular integral on the interval of integration with the weight function is considered. We prove the spectral ratios for hypersingular integrals on $[-1,1]$. The quadrature formulas for certain integrals with the weight function are constructed. The estimation error is presented.

Key words: hypersingular integral, quadrature formula, the estimation error.

UDC: 519.64

Received: 22.06.2015
Revised: 16.12.2015

DOI: 10.15372/SJNM20160406

 English version: Numerical Analysis and Applications, 2016, 9:4, 326–334

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