A Hilbert-type integral inequality with multi-parameters and composite kernel

LIU Qiong; HUANG Lin

doi:10.3969/j.issn.1000-5641.2016.01.007

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Mar. 2016

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LIU Qiong, HUANG Lin. A Hilbert-type integral inequality with multi-parameters and composite kernel[J]. Journal of East China Normal University (Natural Sciences), 2016, (1): 51-57. doi: 10.3969/j.issn.1000-5641.2016.01.007

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LIU Qiong, HUANG Lin. A Hilbert-type integral inequality with multi-parameters and composite kernel[J]. Journal of East China Normal University (Natural Sciences), 2016, (1): 51-57. doi: 10.3969/j.issn.1000-5641.2016.01.007

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A Hilbert-type integral inequality with multi-parameters and composite kernel

doi: 10.3969/j.issn.1000-5641.2016.01.007

LIU Qiong¹,
HUANG Lin^{2
,
,}

Received Date: 2014-12-02
Publish Date: 2016-01-25

Abstract

Abstract

By introducing some special functions to characterize the constant factor, a Hardy-Hilbert type integral inequality with the kernel $\ln(1+\mathrm{e}^{-\alpha x^{\lambda_1}y^{\lambda_2}})$ is obtained, and its equivalent form is considered. The constant factors of the equivalent inequalities are proved being the best possible.
- Hilbert-type integral inequality \quad weight function the best constant factor,

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References(1)

References

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