engleski

On a discrete Hilbert type inequality with non-homogeneous kernel

New extensions are given for the discrete Hilbert type inequality with non-homogeneous kernel. By this, recently published results by Pogány have been improved by a Hilbert type inequalities in homogeneous kernel case derived by Krnić and Pečarić. Another used mathematical tools are the Dirichlet series' Laplace–integral representation and the classical Hölder inequality.

discrete Hilbert type inequality ; Dirichlet--series ; non--homogeneous kernel ; homogeneous kernel ; Hölder inequality ; binomial expansion ; beta function

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