In this paper, we build a new Hilbert's inequality with the homogeneous kernel of real order and the integral in whole plane. The equivalent inequality is considered. The best constant factor is calculated using ψ function.

Periodical:

Bulletin of Mathematical Sciences and Applications (Volume 3)

Pages:

71-82

Citation:

Z. T. Xie et al., "A New Hilbert-Type Integral Inequality with the Homogeneous Kernel of Real Degree Form and the Integral in Whole Plane", Bulletin of Mathematical Sciences and Applications, Vol. 3, pp. 71-82, 2013

Online since:

February 2013

Authors:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

References:

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