Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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
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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.

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References

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