On the type of entire and meromorphic functions

A sharp estimate is obtained for the infimum of the types of the entire functions $f$ vanishing on a sequence $\Lambda$ when the averaged counting function $ N(r,\,\Lambda)$ of the sequence has known type, and a best possible estimate is obtained for the types of the entire functions $g$ and $h$ in a representation of a meromorphic function $f=g/h$ when the Nevanlinna characteristic $T(r,\, f)$ has known type.