Some new Opial type dynamic inequalities via convex functions and applications

Abstract

Abstract In this paper, we prove some new Opial-type dynamic inequalities on time scales. Our results are obtained in frame of convexity property and by using the chain rule and Jensen and Hölder inequalities. For illustration purpose, we obtain some particular Opial-type inequalities reported in the literature.

Keywords

• Opial’s inequality
• Hölder’s inequality
• Jensen’s inequality
• Time scales