The Single Arm Seated Shoulder Press will work your upper body, primarily working on shoulder strength. Maintaining your position will also work into your core (obliques and anterior core) and hip flexors. Your hip and shoulder mobility will also be challenged.
Sit on the floor with your legs apart so that they make a 45 degree angle between them. You can use a dumbbell or kettlebell for this movement. Bring the weight to your shoulder. Press the weight into the air, achieving a straight arm at the top of the movement. It is important not to let your body lean back, which will force you to engage your core and hip flexors.
You should use a slightly lighter weight than you would for other shoulder press variations.