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A multi-parameter Hilbert-type integral inequality related to special functions
Received date: 2016-01-08
Revised date: 2016-03-26
Online published: 2016-09-15
By using the method of weight function and the techniques of real analysis and functional analysis and by introducing some special functions to jointly score the constant factor, a Hilbert-type integral inequality with multi-parameters is given. Its equivalent form is considered, and their constant factor is proved to be the best. Some meaningful results are obtained by choosing the special parameter values.
HUANG Lin , LIU Qiong . A multi-parameter Hilbert-type integral inequality related to special functions[J]. Journal of University of Chinese Academy of Sciences, 2016 , 33(5) : 584 -589 . DOI: 10.7523/j.issn.2095-6134.2016.05.002
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