On a more accurate class of discrete Hilbert-type inequalities

On a more accurate class of discrete Hilbert-type inequalities

Motivated by some known results regarding a particular set of non-homogeneous kernels, in this article we study a more general class of discrete Hilbert-type inequalities. We derive a more accurate form for this class of inequalities, based on the application of the Hermite–Hadamard inequality.

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Veröffentlicht in:Applied mathematics and computation 2014-05, Vol.234, p.543-547
Hauptverfasser: Krnic, Mario, Vukovic, Predrag
Format: Artikel
Sprache:eng
Schlagworte:
Beta function
Computation
Hermite–Hadamard inequality
Hilbert-type inequality
Inequalities
Kernels
Mathematical models
Non-conjugate exponents
Non-homogeneous kernel
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Zusammenfassung:Motivated by some known results regarding a particular set of non-homogeneous kernels, in this article we study a more general class of discrete Hilbert-type inequalities. We derive a more accurate form for this class of inequalities, based on the application of the Hermite–Hadamard inequality.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.02.059