ON DYNAMIC INEQUALITIES OF HILBERT-TYPE

Özet

In this paper, we present new weighted diamond alpha dynamic inequalities of Hilbert type on time scales. Our approach is based on the application of the reversed Hölder’s inequality, the chain rule, and the mean inequality within the framework of diamond alpha calculus. Furthermore, we demonstrate that, as particular cases of our general results (for T=N  and T=R ), one can obtain the reversed discrete and continuous forms of Hilbert-type inequalities.