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On a two-parameter Hilbert-type integral operator and its applications
Received date: 2016-03-18
Online published: 2016-11-15
Supported by
Supported by the National Natural Science Foundation of China(11171280)
In this work, by introducing two parameters λ1 and λ2 and using the method of weight function and the technique of functional analysis, a two-parameter Hilbert-type integral operator is defined and the norm of the operator is given. As applications, a few improved results and some new Hilbert-type integral inequalities with the particular kernels are obtained.
SUN Wenbing , LIU Qiong . On a two-parameter Hilbert-type integral operator and its applications[J]. Journal of University of Chinese Academy of Sciences, 2016 , 33(6) : 729 -735 . DOI: 10.7523/j.issn.2095-6134.2016.06.002
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