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Rassias, Michael Th.; Yang, Bicheng

On a multidimensional Hilbert-type integral inequality associated to the gamma function. (English) Zbl 1338.33011

Appl. Math. Comput. 249, 408-418 (2014).
Summary: In this paper a multidimensional Hilbert-type integral inequality with the best possible constant factor associated to the gamma function is proved. An equivalent form and some reverses are obtained. We also consider the operator expressions and some particular results related to the non-homogeneous kernels and a homogeneous kernel of degree zero.

Cited in 22 Documents

MSC:

33B15 Gamma, beta and polygamma functions
39B62 Functional inequalities, including subadditivity, convexity, etc.

Keywords:

Hilbert-type integral inequality; weight function; equivalent form; Hilbert-type integral operator; gamma function
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References:

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