  We embed general $f(R)$ inflationary models in minimal supergravity plus
matter, a single chiral superfield $\Phi$, with or without another superfield
$S$, via a Jordan frame Einstein+scalar description. In particular,
inflationary models like a generalized Starobinsky one are analyzed and
constraints on them are found. We also embed the related models of conformal
inflation, also described as Jordan frame Einstein+scalar models, in particular
the conformal inflation from the Higgs model, and analyze the inflationary
constraints on them.
