engleski

Discrete Hilbert type inequality with non-homogeneous kernel

A new version of discrete Hilbert type inequality is given where the kernel function is non - homogeneous. The main mathematical tools are the representation of the Dirichlet series by means of the Laplace integral, and the H\"older inequality with non - conjugated parameters. Numerous special cases are treated and conditional best constants are discussed.

Discrete Hilbert type inequality; Dirichlet-series;

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