Given 0≤R1≤R2≤∞, CVG(R1,R2) denotes the class of
normalized convex functions f in the unit disc U, for which ∂f(U)
satisfies a Blaschke Rolling Circles Criterion with radii R1 and R2.
Necessary and sufficient conditions for R1=R2, growth and
distortion theorems for CVG(R1,R2) and rotation theorem for the
class of convex functions of bounded type, are found.