Constraints on inflation in the Einstein-Brans-Dicke frame

The density perturbation during inflation seeds the large scale structure of the Universe. We consider both new inflation-type and chaotic inflation-type potentials in the framework of Einstein-Brans-Dicke gravity. The density perturbation gives strong constraints on the parameters in these potentials. For both potentials, the constraints are not much different from those obtained in the original inflationary models by using Einstein gravity.