Analogy of Classical and Dynamic Inequalities Merging on Time Scales

Abstract

In this paper, we present analogues of Radon’s inequality and Nesbitt’s inequality on time scales. Furthermore, we find refinements of some classical inequalities such as Bergström’s inequality, the weighted power mean inequality, Cauchy–Schwarz’s inequality and Hölder’s inequality. Our investigations unify and extend some continuous inequalities and their corresponding discrete analogues. AMS Subject Classification: 26D15, 26D20, 34N05.