The effect of antiferromagnetic interchain coupling in alternating spin-(1,
1/2) chains is studied by means of spin-wave theory and density-matrix reno
rmalization group (DMRG). In particular, two limiting cases are investigate
d, the two-leg ladder and its two-dimensional (2D) generalization. Results
of the ground-state properties like energy, spin gap, magnetizations, and c
orrelation functions are reported for the whole range of the interchain cou
pling J(perpendicular to). For the 2D case the spin-wave results predict a
smooth dimensional crossover from 1D to 2D keeping the ground state always
ordered. For the ladder system, the DMRG results show that any J(perpendicu
lar to) > 0 drives the system to a gapped ground state. Furthermore the beh
avior of the correlation functions closely resemble the uniform spin-1/2 la
dder. For J(perpendicular to) lower than 0.3, however, the gap behaves quad
ratically as Delta similar to0.6J(perpendicular to)(2). Finally, it is argu
ed that the behavior of the spin gap for an arbitrary number of mixed coupl
ed spin chains is analogous to that of the uniform spin-1/2 chains.