Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (1): 96-102.

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On an Extension of Hibert's Inequality and Applications

  

  1. Department of Mathematics, Guangdong Institute of Education, Guangzhou 510303, China
  • Received:2003-10-22 Online:2006-03-30 Published:2023-12-22
  • About author:YANG Bi-cheng(1947-),male,native of Shanwei,Guangdong,a professor of Guangdong Insti- tute of Education,engages in operator theory and analysis inequalities.
  • Supported by:
     Supported by the NSF of Guangdong Institutions of Higher Learning, College and University(0177).;

Abstract: This paper gives a new generalization of Hilbert’s inequality with a best constant factor involving theβfunction. An applications, we consider the equivalent form and some particular results.

Key words: Hilbert's , inequality;weight , coefficient;β , function;Holder's , inequality

CLC Number: