Inequalities of Ostrowski Type for Functions Whose Derivative Module Is Relatively Convex on Time Scales

Abstract

In this article, we discuss several novel generalized Ostrowski-type inequalities for functions whose derivative module is relatively convex in time scales calculus. Our core findings are proved by using the integration by parts technique, Hölder’s inequality, and the chain rule on time scales. These derived inequalities expand the existing literature, enriching specific integral inequalities within this domain.

Keywords

• Ostrowski-type inequalities
• Hölder’s inequality
• relatively convex functions
• relatively s-convexfunctions
• time scale