To bring out the best in others sow a spirit of willingness
The Bible says, Whatsoever a man soweth, that he shall also reap.
So, if you truly want to encourage others to do their best, sow a spirit of willingness to get others to do their best.
Follow the Golden Rule: Treat others the way you want your mother to be treated, and you will get a willingness in others to do their best.
Inspiration for this post came from Napoleon Hill.