在整个平面上用指数函数求解hilbert型积分不等式

International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI:10.12988/IJMA.2017.7223

Zhaohui Gu, Bicheng Yang

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引用次数: 0

摘要

通过引入指数函数作为区间变量，得到权函数，给出了在整个平面上的一个新的hilbert型积分不等式，其最佳常数因子用函数表示。讨论了其等价形式和一些特殊情况。数学学科分类:26D15

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On a Hilbert-type integral inequality in the whole plane with the exponential function

By introducing the exponential function as the interval variable and obtaining the weight functions, a new Hilbert-type integral inequality in the whole plane with a best possible constant factor expressed by the beta function is given. The equivalent forms and a few particular cases are considered. Mathematics Subject Classification: 26D15

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International Journal of Mathematical Analysis

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