A Hilbert-Type Integral Inequality in the Whole Plane with the Homogeneous Kernel of Degree -2

A Hilbert-Type Integral Inequality in the Whole Plane with the Homogeneous Kernel of Degree -2

By applying the way of real and complex analysis and estimating the weight functions, we build a new Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree -2 involving some parameters and the best constant factor. We also consider its reverse. The equivalent forms...

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Veröffentlicht in:Journal of inequalities and applications 2011-01, Vol.2011 (1), p.401428-401428
Hauptverfasser: Xin, Dongmei, Yang, Bicheng
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Inequality
Mathematics
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Zusammenfassung:By applying the way of real and complex analysis and estimating the weight functions, we build a new Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree -2 involving some parameters and the best constant factor. We also consider its reverse. The equivalent forms and some particular cases are obtained.
ISSN:1025-5834
1029-242X
1029-242X
DOI:10.1186/1029-242X-2011-401428