I will present results relating to Onsager's conjecture on energy conservation for solutions of the 3D Euler equations. I will first discuss a result of Constanti, E, and Titi which states that energy is conserved for weak solutions belonging to a Besov space with Besov index greater than one-third. I will then present a result of Duchon and Robert which shows that energy is in fact conserved for solutions in a slightly larger space.