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《College Mathematics》 2018-04
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The Generalization of Hilbert′s Type Inequality with Mixed Nuclei

YANG Dun-kun;XI Gao-wen;College of Mathematics and Physics,Chongqing University of Science and Technology;  
By introducing the parameterλand applying the weight coefficient,a study has been made on a Hilbert's type inequality,and the generalizations of the forward and reverse inequalities and the equivalence forms of the inequalities has been obtained.At the same time,the constant of the inequality has been proved to the optimum value.
【Fund】: 重庆科技学院2017年度校内科研基金项目(ck2017zkyb019)
【CateGory Index】: O178
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