...Draw any convex edge or blade grind you want. The edge or the blade will be bounded by three points: the apex and the two shoulders. If you connect those three points with two convex arcs, you'll have a convex edge/blade. If you connect those same three points with two straight lines, you'll have a V edge/FFG and all the metal within the FFG will be inside the arcs of the convex sides. That's what convex means.
...If the arcs that define the convex edge are acute, there can be a very large difference between the performance of a V edge and a convex edge, with the V edge cutting much better and the convex edge being more durable. If the arcs that define the convex edge are slight -- think the arc of a circle the size of the earth, there will be virtually no difference between the two edges because the convex edge will be almost exactly a V edge to anyone without an electron microscope.