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A New Generalization of Hardy-Hilbert’s Type Inequality with Multi-Parameters 被引量:1

一个Hardy-Hilbert型不等式含多参数的新的推广(英文)
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摘要 In this paper, by introducing some parameters and estimating the weight coefficients, we give a new generalization of Hardy-Hilbert’s type inequality with the best constant factor. As applications, we consider its equivalent form and obtain some recent results, which are special cases of our results. In this paper, by introducing some parameters and estimating the weight coefficients, we give a new generalization of Hardy-Hilbert's type inequality with the best constant factor. As applications, we consider its equivalent form and obtain some recent results, which are special cases of our results.
作者 金建军
出处 《Journal of Mathematical Research and Exposition》 CSCD 2009年第6期1131-1136,共6页 数学研究与评论(英文版)
关键词 Hardy-Hilbert's type inequality weight coefficient HSlder's inequality. Hilbert型不等式 Hardy 最佳常数 希尔伯特 等价形式 子类型 估计
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  • 1HARDY G H, LITTLEWOOD J E, POLYA G. Inequalities [M]. Cambridge University Press, Cambridge, 1952. 被引量:1
  • 2MITRINOVIC D S, PECARIC J E, FINK A M. Inequalities Involving Functions and Their Integrals and Derivatives [M]. Kluwer Academic Publishers Group Dordrecht, 1991. 被引量:1
  • 3YANG Bicheng, RASSIAS T M. On the way of weight coefficient and research for the Hilbert-type inequedities [J]. Math. Inequal. Appl., 2003, 6(4): 625-658. 被引量:1
  • 4KUANG Jichang, DEBNATH L. On new generalizations of Hilbert's inequality and their applications [J]. J. Math. Anal. Appl., 2000, 245(1): 248-265. 被引量:1
  • 5YANG Bicheng. Generalization of a Hilbert-type inequality with the best constant factor and its applications [J]. J. Math. Res. Exposition, 2005, 25(2): 341-346. (in Chinese). 被引量:1
  • 6YANG Bicheng. A generalized Hilbert-type inequality with a best constant factor [J]. J. Jilin Univ. Sci., 2006, 44(3): 333-337. (in Chinese). 被引量:1
  • 7KUANG Jichang. Applied Inequalities [M]. Ji'nan: Shandong Science and Technology Press, 2004. 被引量:1

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