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http://dx.doi.org/10.4134/BKMS.2002.39.1.081

HARDY＇S INEQUALITY RELATED TO A BERNOULLI EQUATION  

Hyun, Jung-Soon (Financial Engineering Research Center, Graduate School of Management KAIST)
Kim, Sang-Dong (Department of Mathematics Education, Kyungpook National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.39, no.1, 2002 , pp. 81-87 More about this Journal
Abstract
The weighted Hardy＇s inequality is known as (equation omitted) where -$\infty$$\leq$a$\leq$b$\leq$$\infty$ and 1 < p < $\infty$. The purpose of this article is to provide a useful formula to express the weight r(x) in terms of s(x) or vice versa employing a Bernoulli equation having the other weight as coefficients.
Keywords
Hardy＇s inequality; Bernoulli equation;
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