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杨 必 成
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YANG Bi-cheng
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摘要: 通过引入单参数λ, 给一个积分型Hilbert类不等 式以具有最佳常数因子的推广. 作为应用, 建立它的等价形式及对应二重级数的推广式.
关键词: Hilbert类不等式, 权函数, Hlder不等式
Abstract: By introducing a parameter λ, we have given a gene ralization of Hilbert's type of integral inequality with a best constant factor . As its application, we have built its equivalent form and the generalized form ula corresponding to the double series inequalities.
Key words: Hilbert's type inequality, weight function, Holder's inequality
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杨 必 成. 一个Hilbert类不等式的最佳推广[J]. J4, 2004, 42(01): 30-34.
YANG Bi-cheng. Best generalization of Hilbert's type of inequality[J]. J4, 2004, 42(01): 30-34.
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链接本文: http://xuebao.jlu.edu.cn/lxb/CN/
http://xuebao.jlu.edu.cn/lxb/CN/Y2004/V42/I01/30
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