On some general Hilbert’s inequalities with non-conjugate parameters (original) (raw)

Rendiconti del Circolo Matematico di Palermo, 2007

Abstract

A generalized discrete Hilbert’s and Hardy-Hilbert’s inequality with non-conjugate parameters can be established by means of Euler-Maclaurin summation formula. We derive some general results for homogeneous functions and compare our results with some previously known from the literature. We also obtain the improvements on some earlier results.

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