Goal: To provide an insight into the Hilbert type discrete and integral inequalities and its generalizations.
Course description: The Hilbert type discrete (double sum) inequalities have been introduced by David Hilbert. Associated integral form inequalities were considered by Hardy. The
inequalities different forms earned by Mathieu series techniques like Cahen formula, Dirichlet series and Gamma type special functions along with Jacobi Theta are
presented. Related integral forms of the class of Zeta functions like Tornheim’s will be discussed as well.
