This study explores a new multidimensional Hilbert-type inequality involving one partial sum, by utilizing transfer formula and Hermite-Hadamard's inequality. The kernel 1 (u (m) + v (k) _{) ^ } (>0) in the new inequality has two general internal variables compared with previous work, and the best value is achieved with certain parameters. Finally, the equivalent forms, the operator expressions and some particular cases are presented.
Peng et al. (Thu,) studied this question.