New half-discrete Hilbert inequalities for three variables

In this paper, we obtain two new half-discrete Hilbert inequalities for three variables. The obtained inequalities are with the best constant factor. Moreover, we give their equivalent forms.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of inequalities and applications 2018, Vol.2018 (1), p.1-15, Article 1
Hauptverfasser:	Batbold, Tserendorj, Azar, Laith E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics equivalent form half-discrete inequality Hilbert inequality Inequalities Mathematics Mathematics and Statistics the best possible constant
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper, we obtain two new half-discrete Hilbert inequalities for three variables. The obtained inequalities are with the best constant factor. Moreover, we give their equivalent forms.
ISSN:	1025-5834 1029-242X 1029-242X
DOI:	10.1186/s13660-017-1594-6