奨励【しょうれい】
encouragement, promotion, inducement, incitement, stimulation
激励【げきれい】
encouragement, spurring (on), cheering (on)
励ます【はげます】
to encourage, to cheer on, to cheer (someone) up, to raise (one's voice)
励む【はげむ】
to work hard, to try hard, to strive, to endeavour, to endeavor, to devote oneself to, to make an effort, to be zealous