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)
• Published : 2002.02.01
• 127 7

Abstract

The weighted Hardy＇s inequality is known as (equation omitted) where -$\infty$$\leqa\leqb\leq$$\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.

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