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A Reverse Hilberttype Inequality with Some Parameters

XIE Zitian, MURONG Jumin   

  1. Department of Mathematics, Zhaoqing University, Zhaoqing 526061, Guangdong Province, China
  • Received:2007-10-18 Revised:1900-01-01 Online:2008-07-26 Published:2008-07-26
  • Contact: XIE Zitian

Abstract: By introducing some parameters and the weight coefficient, and using the technic of real analysis, we gave a new reverse Hilberttype double series inequality with two pairs of conjugate exponents, and a best constant factor, and considered the equivalent form and some particular results.

Key words: Hilbert-type inequality, weight coefficient, Holder’s inequality

CLC Number: 

  • O178