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Analogy of classical and dynamic inequalities merging on time scales

Sahir Muhammad Jibril Shahab

Journal of Mathematics and Applications

2020

Vol. 43

139--152

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.