Geodesic
On the best constant in the Khinchin-Kahane inequality
Studia Mathematica, Tome 109 (1994) no. 1, pp. 101-104

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-109-1-101-104

Rafał Latała 1 ;  1

1 
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Rafał Latała;  . On the best constant in the Khinchin-Kahane inequality. Studia Mathematica, Tome 109 (1994) no. 1, pp. 101-104. doi: 10.4064/sm-109-1-101-104

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