  We consider the examples of single-field inflation models predicting large
amplitudes of the curvature perturbation power spectrum at relatively small
scales. It is shown that in models with an inflationary potential of
double-well type the peaks in the power spectrum, having, in maximum, the
amplitude ~0.1, can exist (if parameters of the potential are chosen
appropriately). It is shown also that the spectrum amplitude of the same
magnitude (at large k values) is predicted in the model with the running mass
potential, if the positive running, n', exists and is about 0.005 at
cosmological scales. Estimates of the quantum diffusion effects during
inflation in models with the running mass potential are given.
