Axioms, Vol. 13, Pages 235: Inequalities of Ostrowski Type for Functions Whose Derivative Module Is Relatively Convex on Time Scales

Axioms, Vol. 13, Pages 235: Inequalities of Ostrowski Type for Functions Whose Derivative Module Is Relatively Convex on Time Scales

Axioms doi: 10.3390/axioms13040235

Authors: Haytham M. Rezk Ahmed I. Saied Maha Ali Ghada AlNemer Mohammed Zakarya

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.