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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2016, Volume 19, Number 4, Pages 419–428
DOI: https://doi.org/10.15372/SJNM20160406 (Mi sjvm627) 		 
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
Full-text PDF (376 kB) Citations (6)
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DOI: https://doi.org/10.15372/SJNM20160406
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
English version:
Numerical Analysis and Applications, 2016, Volume 9, Issue 4, Pages 326–334
DOI: https://doi.org/10.1134/S1995423916040066
Bibliographic databases:
Document Type: Article
UDC: 519.64
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
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