Convex Functions on Time Scales

Abstract. We define the notion of a convex function on time scales. Some results connecting this notion with the notion of convex function on a classic interval and convex sequences are also included. We also define the subdifferential of a convex function on time scale and present some properties regarding it. 2000 Mathematics Subject Classification. 26D15; 39A13. Key words and phrases. Time scales, convex function, dynamic derivatives.