engleski

On some higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters

By introducing some parameters and a norm, we give higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities in non-conjugate case. Further, we prove that their constant factors are the best possible, in the conjugate case, when the parameters satisfy appropriate conditions. We also compare our results with some known results.

Hilbert type inequality; Hardy-Hilbert type inequality; non-conjugate parameters; norm; the best possible constants

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