engleski

Discrete multiple Hilbert type inequality with non-homogeneous kernel

Multiple discrete Hilbert type inequalities are established in the case of non-homogeneous kernel function by means of Laplace integral representation of associated Dirichlet series. Using newly derived integral expressions for the Mordell-Tornheim Zeta function a set of subsequent special cases, interesting by themselves, are obtained as corollaries of the main inequality.

Discrete Hilbert type inequality ; discrete multiple Hilbert type inequality ; Dirichlet-series ; non-homogeneous kernel ; homogeneous kernel ; multiple H\

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