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.

Periodical:

Bulletin of Mathematical Sciences and Applications (Volume 7)

Pages:

9-17

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:

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[2] B. Yang, S. Wu, Q. Chen, "On an extended Hardy-Littlewood-Polya’s inequality", AIMS Mathematics, Vol. 5, p. 1550, 2020

DOI: https://doi.org/10.3934/math.2020106