Estimates of the complexity of approximation of continuous functions in some classes of determinate functions with delay
Diskretnaya Matematika, Tome 20 (2008) no. 4, pp. 147-156
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We consider determinate functions with delay which are generalisations of determinate functions and introduce the notion of complexity of an $\varepsilon$-approximation of a continuous real function by a function with delay. For some classes of continuous functions for which estimates of the number of elements in the $2\varepsilon$-distinguishable set of functions are known, upper and lower estimates are obtained.
@article{DM_2008_20_4_a12,
author = {A. N. Cherepov},
title = {Estimates of the complexity of approximation of continuous functions in some classes of determinate functions with delay},
journal = {Diskretnaya Matematika},
pages = {147--156},
publisher = {mathdoc},
volume = {20},
number = {4},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2008_20_4_a12/}
}
TY - JOUR AU - A. N. Cherepov TI - Estimates of the complexity of approximation of continuous functions in some classes of determinate functions with delay JO - Diskretnaya Matematika PY - 2008 SP - 147 EP - 156 VL - 20 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DM_2008_20_4_a12/ LA - ru ID - DM_2008_20_4_a12 ER -
%0 Journal Article %A A. N. Cherepov %T Estimates of the complexity of approximation of continuous functions in some classes of determinate functions with delay %J Diskretnaya Matematika %D 2008 %P 147-156 %V 20 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/DM_2008_20_4_a12/ %G ru %F DM_2008_20_4_a12
A. N. Cherepov. Estimates of the complexity of approximation of continuous functions in some classes of determinate functions with delay. Diskretnaya Matematika, Tome 20 (2008) no. 4, pp. 147-156. http://geodesic.mathdoc.fr/item/DM_2008_20_4_a12/