On the best constant in the Khinchin-Kahane inequality

@article{Latała1994,
abstract = {We prove that if $r_i$ is the Rademacher system of functions then $(ʃ ∥∑_\{i=1\}^\{n\} x_\{i\}r_\{i\}(t)∥^2 dt)^\{1/2\} ≤ √2 ʃ ∥∑_\{i=1\}^\{n\}x_\{i\}r_\{i\}(t)∥dt$ for any sequence of vectors $x_i$ in any normed linear space F.},
author = {Latała, Rafał, Oleszkiewicz, Krzysztof},
journal = {Studia Mathematica},
keywords = {vector-valued inequalities; Rademacher system of functions},
language = {eng},
number = {1},
pages = {101-104},
title = {On the best constant in the Khinchin-Kahane inequality},
url = {http://eudml.org/doc/216056},
volume = {109},
year = {1994},
}

TY - JOUR
AU - Latała, Rafał
AU - Oleszkiewicz, Krzysztof
TI - On the best constant in the Khinchin-Kahane inequality
JO - Studia Mathematica
PY - 1994
VL - 109
IS - 1
SP - 101
EP - 104
AB - We prove that if $r_i$ is the Rademacher system of functions then $(ʃ ∥∑_{i=1}^{n} x_{i}r_{i}(t)∥^2 dt)^{1/2} ≤ √2 ʃ ∥∑_{i=1}^{n}x_{i}r_{i}(t)∥dt$ for any sequence of vectors $x_i$ in any normed linear space F.
LA - eng
KW - vector-valued inequalities; Rademacher system of functions
UR - http://eudml.org/doc/216056
ER -