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《Journal of South China Normal University(Natural Science Edition)》 2011-02
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A HILBERT-TYPE SERIES-INEQUALITY AND ITS REVERSES WITH THE HOMOGENEOUS KERNELS OF ZERO DEGREE

ZHONG Jianhua(Department of Mathematics,Guangdong University of Education,Guangzhou 510303,China)  
By introducing some parameters and using the way of weight functions,a new Hilbert-type series-inequality and its equivalent form are given with the homogeneous kernel of zero degree and a best constant factor.The reverse and the equivalent form are also obtained.
【Fund】: 广东省高等学校自然科学基金重点研究项目(05Z026)
【CateGory Index】: O178
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1 LI Shi-jie~1, WU Guang-yao~1, SHAN Bao-liang~2(1.Quzhou Education Committee, Quzhou 324002, China;2.Quzhou College of Vocational Technology, Quzhou 324000, China);Higher Dimensional Generalization of Jensen's Inequality[J];Journal of Anhui TV University;2005-03
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