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  • Research Article
  • Open Access

On a Hilbert-Type Operator with a Symmetric Homogeneous Kernel of 1-Order and Applications

Journal of Inequalities and Applications20072007:047812

https://doi.org/10.1155/2007/47812

  • Received: 21 March 2007
  • Accepted: 12 July 2007
  • Published:

Abstract

Some character of the symmetric homogenous kernel of 1-order in Hilbert-type operator is obtained. Two equivalent inequalities with the symmetric homogenous kernel of -order are given. As applications, some new Hilbert-type inequalities with the best constant factors and the equivalent forms as the particular cases are established.

Keywords

  • Constant Factor
  • Equivalent Form
  • Homogenous Kernel
  • Equivalent Inequality
  • Good Constant Factor

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Authors’ Affiliations

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

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