Novel Hardy-Type Inequalities with Submultiplicative Functions on Time Scales Using Delta Calculus
Novel Hardy-Type Inequalities with Submultiplicative Functions on Time Scales Using Delta Calculus
In this study, we apply Hölder’s inequality, Jensen’s inequality, chain rule and the properties of convex functions and submultiplicative functions to develop an innovative category of dynamic Hardy-type inequalities on time scales delta calculus. A time scale, denoted by T, is any closed nonempty subset of R. In time scale …