Journal of Shanghai University(Natural Science Edition) ›› 2009, Vol. 15 ›› Issue (5): 493-495.

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

A Basic Hilbert-Type Integral Inequality with Homogeneous Kernel of -1-Degree

  

  1. Department of Mathematics, Guangdong Education Institute, Guangzhou 510303, China
  • Received:2008-05-12 Online:2009-10-30 Published:2009-10-30

Abstract:

By using a weight function, a basic Hilbert-type integral inequality with a homogeneous kernel of -1-degree and the best constant factor is given. The equivalent form and the extended integral inequalities with multiple parameters are considered.

Key words: weight function; Hilbert-type inequality; best value; equivalent form

CLC Number: