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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
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
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
Linking options:
https://www.mathnet.ru/eng/mt39 https://www.mathnet.ru/eng/mt/v9/i1/p52
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Abstract page: | 612 | Full-text PDF : | 160 | References: | 54 | First page: | 1 |
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