Asymptotic Estimates for the~Approximation and Entropy Numbers of a~One-Weight Riemann--Liouville Operator
Matematičeskie trudy, Tome 9 (2006) no. 1, pp. 52-100
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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.
@article{MT_2006_9_1_a3,
author = {E. N. Lomakina and V. D. Stepanov},
title = {Asymptotic {Estimates} for {the~Approximation} and {Entropy} {Numbers} of {a~One-Weight} {Riemann--Liouville} {Operator}},
journal = {Matemati\v{c}eskie trudy},
pages = {52--100},
publisher = {mathdoc},
volume = {9},
number = {1},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MT_2006_9_1_a3/}
}
TY - JOUR AU - E. N. Lomakina AU - V. D. Stepanov TI - Asymptotic Estimates for the~Approximation and Entropy Numbers of a~One-Weight Riemann--Liouville Operator JO - Matematičeskie trudy PY - 2006 SP - 52 EP - 100 VL - 9 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MT_2006_9_1_a3/ LA - ru ID - MT_2006_9_1_a3 ER -
%0 Journal Article %A E. N. Lomakina %A V. D. Stepanov %T Asymptotic Estimates for the~Approximation and Entropy Numbers of a~One-Weight Riemann--Liouville Operator %J Matematičeskie trudy %D 2006 %P 52-100 %V 9 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/MT_2006_9_1_a3/ %G ru %F MT_2006_9_1_a3
E. N. Lomakina; V. D. Stepanov. Asymptotic Estimates for the~Approximation and Entropy Numbers of a~One-Weight Riemann--Liouville Operator. Matematičeskie trudy, Tome 9 (2006) no. 1, pp. 52-100. http://geodesic.mathdoc.fr/item/MT_2006_9_1_a3/