  In symplectic geometry, symplectic invariants are useful tools in studying
symplectic phenomena. Hofer-Zehnder capacity and displacement energy are
important symplectic invariants. Usher proved the so-called sharp
energy-capacity inequality between Hofer-Zehnder capacity and the displacement
energy for closed symplectic manifolds. In this paper, we extend the sharp
energy-capacity inequality to convex symplectic manifolds.
