洪勇. 一类重积分型Hardy-Hilbert不等式[J]. 云南大学学报(自然科学版), 2009, 31(2): 114-119, .
引用本文: 洪勇. 一类重积分型Hardy-Hilbert不等式[J]. 云南大学学报(自然科学版), 2009, 31(2): 114-119, .
HONG Yong. A Hardy-Hilbert's inequality of multiple integral type[J]. Journal of Yunnan University: Natural Sciences Edition, 2009, 31(2): 114-119, .
Citation: HONG Yong. A Hardy-Hilbert's inequality of multiple integral type[J]. Journal of Yunnan University: Natural Sciences Edition, 2009, 31(2): 114-119, .

一类重积分型Hardy-Hilbert不等式

A Hardy-Hilbert's inequality of multiple integral type

  • 摘要: 利用Г-函数和B-函数,建立了一种重积分型Hardy-Hilbert不等式,并证明在一定条件下其常数因子是最佳的.

     

    Abstract: By applying gamma-function and beta-function,a Hardy-Hilbert's inequality of multiple integral type is given,the problem of the best constant factor in some particular conditions is discussed.

     

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