On some generalizations of the Hilbert–Hardy type discrete inequalities

Author

Permanent address: Department of Mathematics, Faculty of Science, Minoufiya University, Shebin El-Koom, Egypt Current address: Department of Mathematics, Faculty of Science, Taibah University, Kingdom of Saudi Arabia

Abstract

New Hilbert-type discrete inequalities are presented by using new techniques in proof. By
specializing the weight coefficient functions in the hypothesis and the parameters, we obtain many
special cases which include, in particular, the discrete inequality derived by Hilbert and Hardy.
Many improvements and generalizations of known results are given in this paper.

Keywords