engleski

Hilbert's inequalities with a homogeneous kernel

The main objective of this paper are some new special Hilbert-type and Hardy-Hilbert-type inequalities in (0, \infty)^n with a general homogeneous kernel. Also, we obtain the best possible constants when the parameters satisfy appropriate conditions.

Hardy-Hilbert's inequality; homogeneous kernel; the best possible constant; conjugate exponents; non-conjugate exponents; the hypergeometric fuction

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