DISCRETE MULTIPLE HILBERT TYPE INEQUALITY WITH NON-HOMOGENEOUS KERNEL

Biserka Drascic Ban, Josip Pecaric, Ivan Peric, Tibor Pogany
2010 Journal of the Korean Mathematical Society  
Multiple discrete Hilbert type inequalities are established in the case of non-homogeneous kernel function by means of Laplace integral representation of associated Dirichlet series. Using newly derived integral expressions for the Mordell-Tornheim Zeta function a set of subsequent special cases, interesting by themselves, are obtained as corollaries of the main inequality.
doi:10.4134/jkms.2010.47.3.537 fatcat:i64h4s75avckxnntdpnz67vzpm