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On some general Hilbert's Inequalities with non-conjugate parameters (CROSBI ID 109497)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Krnić, Mario ; Pečarić, Josip On some general Hilbert's Inequalities with non-conjugate parameters // Rendiconti del Circolo Matematico di Palermo, II (2007), LVI; 219-234

Podaci o odgovornosti

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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Podaci o izdanju

II (LVI)

2007.

219-234

objavljeno

0009-725X

Povezanost rada

Matematika

Indeksiranost