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Zbl 1200.47006
Yang, Bicheng; Rassias, Themistocles M.
(Yang, Bi-cheng)
On a Hilbert-type integral inequality in the subinterval and its operator expression. (English)
[J] Banach J. Math. Anal. 4, No. 2, 100-110, electronic only (2010). ISSN 1735-8787/e

The authors establish a Hilbert-type integral inequality in the subinterval $(a,+\infty)$ of $(0,+\infty)$, with the homogeneous kernel of $\lambda$-degree and a best constant factor. As applications, improvements of previous results and some new inequalities with particular kernels are pointed out.
[József Sándor (Cluj-Napoca)]

MSC 2000:: *47A07 Forms on topological linear spaces
26D15 Inequalities for sums, series and integrals of real functions

Keywords: Hilbert-type integral inequality; homogeneous kernel

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