数学与计算机科学 |
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一个加强的Hardy-Hilbert型不等式 |
顾朝晖1, 杨必成2 |
1. 广东外语外贸大学 经济贸易学院, 广东 广州 510006; 2. 广东第二师范学院 数学系, 广东 广州 510303 |
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A strengthened version of a Hardy-Hilbert-type inequality |
GU Zhaohui1, YANG Bicheng2 |
1. School of Economics & Trade, Guangdong University of Foreign Studies, Guangzhou 510006, China; 2. Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China |
[1] HARDY G H. Note on a theorem of Hilbert concerning series of positive terms[J]. Proceedings London Math Soc, 1925, 23(2):xlv-xlvi. [2] HARDY G H, LITTLEWOOD J E, POLYA G. Inequalities[M]. Cambridge: Cambridge Univ Press, 1952. [3] MITRINOVIC D S, PECARIC J E, FINK A M. Inequalities Involving Functions and Their Integrals andDerivatives[M].Boston: Kluwer Academic Publishers, 1991. [4] 杨必成.算子范数与Hilbert型不等式[M].北京:科学出版社, 2009. YANG Bicheng. The Norm of Operator and Hilbert-Type Inequalities[M]. Beijing: Science Press, 2009. [5] YANG Bicheng. Discrete Hilbert-Type Inequalities[M]. Sharjah:Bentham Science Publishers Ltd, 2011. [6] 杨必成. 一个推广的Hardy-Hilbert型不等式[J].广东第二师范学院学报,2015, 35(3): 1-7. YANG Bicheng. An extension of a Hardy-Hilbert-type inequality[J]. Journal of Guangdong University of Education, 2015, 35(3): 1-7. [7] 王竹溪,郭敦仁.特殊函数论[M].北京:科学出版社,1979. WANG Zhuxi, GUO Dunren. Introduction of Special Functions[M]. Beijing: Science Press, 1979. [8] 匡继昌.常用不等式[M].济南:山东科技出版社, 2004. KUANG Jichang. Applied Inequalities[M]. Jinan:Shandong Science and Technology Press, 2004. |
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