J4

• 数学 • Previous Articles     Next Articles

A Generalized Hilberttype Inequality with a Best Constant Factor

YANG Bi-cheng   

  1. Department of Mathematics, Guangdong Institute of Education, Guangzhou 510303, China
  • Received:2005-04-21 Revised:1900-01-01 Online:2006-05-26 Published:2006-05-26
  • Contact: YANG Bi-cheng

Abstract: By introducing a parameter and using the way of weight coefficient, we computed accurately a weight coefficient and gave a generalized Hilbert-type integral inequality with a best constant factor. As its application, we established its equivalent form.

Key words: Hilbert-type inequality, weight coefficient, Hlder's inequality

CLC Number: 

  • O178