Cook apples and water in a medium saucepan over medium heat, covered, stirring occasionally and breaking up apples with back of spoon 10 to 12 minutes or until apples form a course puree.
Add splenda and flour cook 2 to3 additional minutes stirring constantly until splenda dissoves and mixture is thickened. Stir in cinnamon. Spoon apple mixture into a bowl and cool slightly,
Preheat oven to 400 and coat a coolie sheet with non-stick cooking spray and set aside.
Unroll pie crust, Cut each one into 4 wedges. Roll each wedge into a 6 inch circle. Place 3 level tablespoons apple mixture on each circle. Moisten edges of dough with water and fold dough over to form a half-moon shape. Crimp to seal. and cut vents to release steam. Place on cookie sheet and brush tops with egg white.
Bake in oven 15 to 20 minutes or until turnovers are browned, Cool turnovers on wire rack 10 minutes before serving serve warm with ice cream(JUST KIDDING)!!!!