A Note on the Men'shov-Rademacher Inequality
Bulletin of the Polish Academy of Sciences. Mathematics (2006)
- Volume: 54, Issue: 1, page 89-93
- ISSN: 0239-7269
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topWitold Bednorz. "A Note on the Men'shov-Rademacher Inequality." Bulletin of the Polish Academy of Sciences. Mathematics 54.1 (2006): 89-93. <http://eudml.org/doc/280564>.
@article{WitoldBednorz2006,
abstract = {We improve the constants in the Men’shov-Rademacher inequality by showing that for n ≥ 64,
$E(sup_\{1≤k≤n\} |∑^k_\{i=1\} X_i|² ≤ 0.11(6.20 + log₂n)²$
for all orthogonal random variables X₁,..., Xₙ such that $∑^n_\{k=1\} E|X_k|² = 1$.},
author = {Witold Bednorz},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {inequalities; best constants; orthogonal systems},
language = {eng},
number = {1},
pages = {89-93},
title = {A Note on the Men'shov-Rademacher Inequality},
url = {http://eudml.org/doc/280564},
volume = {54},
year = {2006},
}
TY - JOUR
AU - Witold Bednorz
TI - A Note on the Men'shov-Rademacher Inequality
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2006
VL - 54
IS - 1
SP - 89
EP - 93
AB - We improve the constants in the Men’shov-Rademacher inequality by showing that for n ≥ 64,
$E(sup_{1≤k≤n} |∑^k_{i=1} X_i|² ≤ 0.11(6.20 + log₂n)²$
for all orthogonal random variables X₁,..., Xₙ such that $∑^n_{k=1} E|X_k|² = 1$.
LA - eng
KW - inequalities; best constants; orthogonal systems
UR - http://eudml.org/doc/280564
ER -
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