On some general Hilbert's Inequalities with non-conjugate parameters (CROSBI ID 109497)
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Krnić, Mario ; Pečarić, Josip
engleski
On some general Hilbert's Inequalities with non-conjugate parameters
A generalized discrete Hilbert's and Hardy-Hilbert's inequality with non-conjugate parameters can be obtained 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.
Inequalities; Hilbert's inequality; Euler-Maclaurin summation formula; homogeneous function; kernel; weight function; equivalent inequalities
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Matematika