Home » Subject » Analysis
Importance: Medium ✭✭
Author(s): Retkes, Zoltan
Subject: Analysis
Keywords: Inequality
Recomm. for undergrads: yes
Prize: Ł10
Posted by: tigris35711
on: December 25th, 2012
Conjecture   For all $ \alpha=(\alpha_1,\alpha_2,\ldots)\in l_2(\cal{C}) $ the following inequality holds $$\sum_{n\geq 1}|\alpha_n|^2\geq \frac{6}{\pi^2}\sum_{k\geq0}\bigg| \sum_{l\geq0}\frac{1}{l+1}\alpha_{2^k(2l+1)}\bigg|^2 $$


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