ε-Entropy and moduli of smoothness in $L^p$-spaces

Kamont, A.. "ε-Entropy and moduli of smoothness in $L^{p}$-spaces." Studia Mathematica 102.3 (1992): 277-302. <http://eudml.org/doc/215929>.

@article{Kamont1992,
abstract = {The asymptotic behaviour of ε-entropy of classes of Lipschitz functions in $L^p(^d)$ is obtained. Moreover, the asymptotics of ε-entropy of classes of Lipschitz functions in $L^p(ℝ^d)$ whose tail function decreases as $O(λ^\{-γ\})$ is obtained. In case p = 1 the relation between the ε-entropy of a given class of probability densities on $ℝ^d$ and the minimax risk for that class is discussed.},
author = {Kamont, A.},
journal = {Studia Mathematica},
language = {eng},
number = {3},
pages = {277-302},
title = {ε-Entropy and moduli of smoothness in $L^\{p\}$-spaces},
url = {http://eudml.org/doc/215929},
volume = {102},
year = {1992},
}

TY - JOUR
AU - Kamont, A.
TI - ε-Entropy and moduli of smoothness in $L^{p}$-spaces
JO - Studia Mathematica
PY - 1992
VL - 102
IS - 3
SP - 277
EP - 302
AB - The asymptotic behaviour of ε-entropy of classes of Lipschitz functions in $L^p(^d)$ is obtained. Moreover, the asymptotics of ε-entropy of classes of Lipschitz functions in $L^p(ℝ^d)$ whose tail function decreases as $O(λ^{-γ})$ is obtained. In case p = 1 the relation between the ε-entropy of a given class of probability densities on $ℝ^d$ and the minimax risk for that class is discussed.
LA - eng
UR - http://eudml.org/doc/215929
ER -