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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 10, Pages 1703–1712
DOI: https://doi.org/10.7868/S0044466915100142
(Mi zvmmf10284)
 

This article is cited in 2 scientific papers (total in 2 papers)

On uniform approximations to the solution of the Abel integral equation

G. V. Khromova

Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russia
Full-text PDF (107 kB) Citations (2)
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Abstract: For the Abel integral equation with a continuous solution and approximately defined right-hand side, a method of regularization without restrictions on the parameter of this equation is proposed.
Key words: Abel integral equation, uniform approximations, regularization methods, convergence.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1520.2014К
Received: 26.03.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 10, Pages 1674–1683
DOI: https://doi.org/10.1134/S0965542515100139
Bibliographic databases:
Document Type: Article
UDC: 519.642.5
Language: Russian
Citation: G. V. Khromova, “On uniform approximations to the solution of the Abel integral equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015), 1703–1712; Comput. Math. Math. Phys., 55:10 (2015), 1674–1683
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v55/i10/p1703
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:218
    Full-text PDF :51
    References:71
    First page:8
     
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