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.

Periodical:

The Bulletin of Society for Mathematical Services and Standards (Volume 4)

Pages:

41-46

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:

December 2012

Authors:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

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Cited By:

[1] Z. Zeng, X. Zitian, "A New Multiple Hilbert-Type Integral Inequality With A Non-Homogeneous Form", i-manager’s Journal on Mathematics, Vol. 4, p. 25, 2015

DOI: https://doi.org/10.26634/jmat.4.3.3597