I have been an avid tennis player for most of my life. I started playing as a young child and have played the sport year round ever since. Because of the repetitive motions involved with the sport, especially those associated with a players dominant hand and elbow, conditions such as bursitis and tendonitis are not uncommon in players.
I have experienced bursitis and tendonitis both in my elbow. It is not uncommon for these two conditions to occur together. Though this combination is more common in the shoulder than in the elbow.
I have found that wrist extensions and bicep curls work well to help ward off the bouts of pain I sometimes experience. The curls and wrist extensions both should be completed with light dumbbells. You are not attempting to build muscle. You simply want to strengthen the affected areas.