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A New Hilbert-Type Integral Inequality with the Homogeneous Kernel of Real Degree Form and the Integral in Whole Plane

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Abstract:

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.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 5)
Pages:
49-59
DOI:
https://doi.org/10.18052/www.scipress.com/BSMaSS.5.49
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", The Bulletin of Society for Mathematical Services and Standards, Vol. 5, pp. 49-59, 2013
Online since:
Mar 2013
Authors:
Zi Tian Xie, K. Raja Rama Gandhi, Zeng Zheng
Keywords:
Function, 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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