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Matematicheskie Trudy, 2006, Volume 9, Number 1, Pages 52–100 (Mi mt39)  
This article is cited in 23 scientific papers (total in 23 papers)

Asymptotic Estimates for the Approximation and Entropy Numbers of a One-Weight Riemann–Liouville Operator

E. N. Lomakinaa, V. D. Stepanovb

a Computer Centre Far-Eastern Branch of RAS
b Peoples Friendship University of Russia
Full-text PDF (2618 kB) Citations (23)
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Abstract: We obtain two-sided estimates for the asymptotic behavior of the approximation and entropy numbers of a one-weight Riemann–Liouville operator of an arbitrary integer order acting in Lebesgue spaces on the semiaxis.
Key words: integral Riemann–Liouville operator, approximation and entropy numbers, Lebesgue space.
Received: 12.07.2005
English version:
Siberian Advances in Mathematics, 2007, Volume 17, Issue 1, Pages 1–36
DOI: https://doi.org/10.3103/S1055134407010014
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: E. N. Lomakina, V. D. Stepanov, “Asymptotic Estimates for the Approximation and Entropy Numbers of a One-Weight Riemann–Liouville Operator”, Mat. Tr., 9:1 (2006), 52–100; Siberian Adv. Math., 17:1 (2007), 1–36
Citation in format AMSBIB
\Bibitem{LomSte06}
\by E.~N.~Lomakina, V.~D.~Stepanov
\paper Asymptotic Estimates for the~Approximation and Entropy Numbers of a~One-Weight Riemann--Liouville Operator
\jour Mat. Tr.
\yr 2006
\vol 9
\issue 1
\pages 52--100
\mathnet{http://mi.mathnet.ru/mt39}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2251331}
\transl
\jour Siberian Adv. Math.
\yr 2007
\vol 17
\issue 1
\pages 1--36
\crossref{https://doi.org/10.3103/S1055134407010014}
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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