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This article is cited in 6 scientific papers (total in 6 papers)
Quadrature interpolation type formulas for hypersingular integrals in the interval of integration
L. Yu. Plievaab a 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.
Received: 22.06.2015 Revised: 16.12.2015
Citation:
L. Yu. Plieva, “Quadrature interpolation type formulas for hypersingular integrals in the interval of integration”, Sib. Zh. Vychisl. Mat., 19:4 (2016), 419–428; Num. Anal. Appl., 9:4 (2016), 326–334
Linking options:
https://www.mathnet.ru/eng/sjvm627 https://www.mathnet.ru/eng/sjvm/v19/i4/p419
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