  We calculate the amplitude of gravitational waves produced by inflation on a
de Sitter brane embedded in five-dimensional anti-de Sitter bulk spacetime,
extending previous calculations in Randall-Sundrum type cosmology to include
the effect of induced gravity corrections on the brane. These corrections arise
via a term in the brane action that is proportional to the brane Ricci scalar.
We find that, as in the Randall-Sundrum case, there is a mass gap between the
discrete zero-mode and a continuum of massive bulk modes, which are too heavy
to be excited during inflation. We give the normalization of the zero-mode as a
function of the Hubble rate on the brane and are thus able to calculate the
high energy correction to the spectrum of gravitational wave (tensor) modes
excited on large scales during inflation from initial vacuum fluctuations on
small scales. We also calculate the amplitude of density (scalar) perturbations
expected due to inflaton fluctuations on the brane, and show that the usual
four-dimensional consistency relation for the tensor/scalar ratio remains valid
for brane inflation with induced gravity corrections.
