Skip to content

Advertisement

  • Research Article
  • Open Access

The Hilbert-Type Integral Inequalities with a Homogeneous Kernel of -Degree

Journal of Inequalities and Applications20082008:917392

https://doi.org/10.1155/2008/917392

  • Received: 24 March 2008
  • Accepted: 19 May 2008
  • Published:

Abstract

By introducing an integral operator, a norm with a weight function, and two pairs of conjugate exponents, we find the conditions for the Hilbert-type integral inequalities with a homogeneous kernel of -degree. We also prove that the constant factors in the inequalities are all the best possible. As the particular situations, some new inequalities with a homogeneous kernel and their other two forms are given. We extend some previous results.

Keywords

  • Full Article
  • Publisher Note

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

(1)
Department of Mathematics, Guangdong Institute of Education, Guangzhou, Guangdong, 510303, China

Copyright

Advertisement