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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2003, Volume 6, Number 2, Pages 171–180 (Mi sjvm185)  
This article is cited in 14 scientific papers (total in 14 papers)

Error estimation for solution of Abel equation on sets of monotonic and convex functions

N. N. Nikolaeva, V. N. Titarenko, A. G. Yagola

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (622 kB) Citations (14)
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Abstract: We consider Abel equation under condition that the exact solution belongs to a compact set. The error of finite-dimensional approximation of the problem is estimated. For the error obtained we construct an area to which the exact and the approximate solutions belong using the method of cutting convex polyhedrons.
Received: 08.07.2002
Revised: 02.09.2002
Bibliographic databases:
UDC: 519.6
Language: Russian
Citation: N. N. Nikolaeva, V. N. Titarenko, A. G. Yagola, “Error estimation for solution of Abel equation on sets of monotonic and convex functions”, Sib. Zh. Vychisl. Mat., 6:2 (2003), 171–180
Citation in format AMSBIB
\Bibitem{NikTitYag03}
\by N.~N.~Nikolaeva, V.~N.~Titarenko, A.~G.~Yagola
\paper Error estimation for solution of Abel equation on sets of monotonic and convex functions
\jour Sib. Zh. Vychisl. Mat.
\yr 2003
\vol 6
\issue 2
\pages 171--180
\mathnet{http://mi.mathnet.ru/sjvm185}
\zmath{https://zbmath.org/?q=an:1053.65100}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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