Journal of Jilin University Science Edition

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A Multi-parameters HilbertType IntegralInequality Related to Extended Zeta Function

LIU Qiong   

  1. Department of Science and Information, Shaoyang University, Shaoyang 422000, Hunan Province, China
  • Received:2016-05-03 Online:2016-11-26 Published:2016-11-29
  • Contact: LIU Qiong E-mail:liuqiongxx13@163.com

Abstract: By using the way of weight function and the real analysis technique, and introducing the extended ζfunction to describe the constant factor, the author obtained a multiparameters Hilberttype integral inequality and its equivalent formula, and discussed the problem of their optimal values.

Key words: weight function, extended ζfunction, Hilberttype integral inequality, the best constant factor

CLC Number: 

  • O178