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A Hilbert-Type Integral Inequality with the Homogeneous Kernel of Degree-3 and a Best Constant Factor

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Abstract:

By establishing the weight function, we present a new Hilbert-type inequality with the integral in whole plane and with a best constant factor, and its kernel is a homogeneous form of degree-3, and also we put forward its equivalent form.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 4)
Pages:
41-46
DOI:
https://doi.org/10.18052/www.scipress.com/BSMaSS.4.41
Citation:
Z. T. Xie and Z. Zheng, "A Hilbert-Type Integral Inequality with the Homogeneous Kernel of Degree-3 and a Best Constant Factor", The Bulletin of Society for Mathematical Services and Standards, Vol. 4, pp. 41-46, 2012
Online since:
Dec 2012
Authors:
Zi Tian Xie, Zeng Zheng
Keywords:
Equivalent Form, Hilbert-Type Integral Inequality, Holder's Inequality, Weight Function
Export:
RIS, BibTeX, Text
Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

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Zitian Xie, Zheng Zeng, Qinghua Zhou , A new Hilbert-type integral inequality with the homogeneous kernel of real number-degree and its equivalent inequality forms, Journal of Jilin University(Science Edition), 2012, 50(4)，693-697.

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