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A New Hilbert-Type Inequality with the Homogeneous Kernel of Degree - 2 and with the Integral
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A New Hilbert-Type Inequality with the Homogeneous Kernel of Degree - 2 and with the Integral

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Abstract:

By using the weight functions and by means of Hadamard's inequality, we present a new Hilbert-type inequality with the integral in whole plane, a best constant factor and a homogeneous kernel of degree-2.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 7)
Pages:
9-17
DOI:
https://doi.org/10.18052/www.scipress.com/BMSA.7.9
Citation:
Z. Zheng et al., "A New Hilbert-Type Inequality with the Homogeneous Kernel of Degree - 2 and with the Integral", Bulletin of Mathematical Sciences and Applications, Vol. 7, pp. 9-17, 2014
Online since:
February 2014
Authors:
Zeng Zheng, Raja Rama Gandhi, Zi Tian Xie
Keywords:
Equivalent Form, Holder's Inequality, Single Parameter, 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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