engleski

Hardy-Hilbert's inequality with general homogeneous kernel

A general form of recently obtained Hardy-Hilbert's inequality with perturbed Hilbert's kernel with the best possible estimation in the case of conjugate exponents is obtained. The case of non-conjugate exponents is briefly given.

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

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