A Hilbert inequality and an Euler-Maclaurin summation formula

Mario Krnić, Josip Pečarić
2007 ANZIAM journal (Print)  
We obtain a generalized discrete Hilbert and Hardy-Hilbert inequality with non-conjugate parameters by means of an Euler-Maclaurin summation formula. We derive some general results for homogeneous functions and compare our findings with existing results. We improve some earlier results and apply the results to some special homogeneous functions. 2000 Mathematics subject classification: primary 26D15.
doi:10.1017/s1446181100003588 fatcat:pj2vl53byjeqhddpdplzkltp64