This article is cited in 23 papers

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

E. N. Lomakina^a, V. D. Stepanov<sup>b

a</sup> 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.

UDC: 517.98

Received: 12.07.2005

 English version: Siberian Advances in Mathematics, 2007, 17:1, 1–36

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