  We investigate the transport properties of charge carriers in AB bilayer
graphene through a triple electrostatic barrier. We calculate the transmission
and reflection using the continuity conditions at the interfaces of the triple
barrier together with the transfer matrix method. First, we consider the case
where the energy is less than the interlayer coupling $\gamma_1$ and show that,
at normal incidence, transmission is completely suppressed in the gap for a
large barrier width while it appears in the gap for a small barrier width. For
energies greater than $\gamma_1$, we show that in the absence of an interlayer
potential difference, transmission is less than that of a single barrier, but
in its presence, transmission in the gap region is suppressed, as opposed to a
double barrier. It is found that one, two, or three gaps can be created
depending on the number of interlayer potential differences applied. Resonance
in the $T_-^+$ transmission channel is observed that is not seen in the single
and double barrier cases. Finally, we compute the conductance and show that the
number of peaks is greater than the double barrier case.
