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  • Research Article
  • Open Access

Improvement of Aczél's Inequality and Popoviciu's Inequality

Journal of Inequalities and Applications20072007:072173

  • Received: 30 December 2006
  • Accepted: 24 April 2007
  • Published:


We generalize and sharpen Aczél's inequality and Popoviciu's inequality by means of two classical inequalities, a unified improvement of Aczél's inequality and Popoviciu's inequality is given. As application, an integral inequality of Aczél-Popoviciu type is established.


  • Integral Inequality
  • Classical Inequality
  • Unify Improvement


Authors’ Affiliations

Department of Mathematics, Longyan College, Longyan, Fujian, 364012, China


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© Shanhe Wu 2007

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