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.
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Dedicated to Yu. G. Reshetnyak on the occasion of his 75th birthday
Original Russian Text © E. N. Lomakina and V. D. Stepanov, 2006, published in Matematicheskie Trudy, 2006, Vol. 9, No. 1, pp. 52–100.
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Lomakina, E.N., Stepanov, V.D. Asymptotic estimates for the approximation and entropy numbers of a one-weight Riemann-Liouville operator. Sib. Adv. Math. 17, 1–36 (2007). https://doi.org/10.3103/S1055134407010014
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DOI: https://doi.org/10.3103/S1055134407010014