Half-discrete Hilbert-type inequalities involving differential operators: Doc 1018

Half-discrete Hilbert-type inequalities involving differential operators: Doc 1018

Motivated by some recent results, in this paper we derive several half-discrete Hilbert-type inequalities with a homogeneous kernel involving some differential operators. The main results are proved for the case of non-conjugate parameters. After reduction to the conjugate case, we show that the con...

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Veröffentlicht in:Journal of inequalities and applications 2014-02, Vol.2014, p.1
Hauptverfasser: Adiyasuren, Vandanjav, Batbold, Tserendorj, Krnic, Mario
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
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Zusammenfassung:Motivated by some recent results, in this paper we derive several half-discrete Hilbert-type inequalities with a homogeneous kernel involving some differential operators. The main results are proved for the case of non-conjugate parameters. After reduction to the conjugate case, we show that the constants appearing on the right-hand sides of these inequalities are the best possible. MSC: 26D10, 26D15, 33B15.[PUBLICATION ABSTRACT]
ISSN:1025-5834
1029-242X
DOI:10.1186/1029-242X-2014-83