On some generalizations of the Hilbert–Hardy type discrete inequalities
El-Marouf, S. (2014). On some generalizations of the Hilbert–Hardy type discrete inequalities. EKB Journal Management System, 22(3), 330-336.
S.A.A. El-Marouf. "On some generalizations of the Hilbert–Hardy type discrete inequalities". EKB Journal Management System, 22, 3, 2014, 330-336.
El-Marouf, S. (2014). 'On some generalizations of the Hilbert–Hardy type discrete inequalities', EKB Journal Management System, 22(3), pp. 330-336.
El-Marouf, S. On some generalizations of the Hilbert–Hardy type discrete inequalities. EKB Journal Management System, 2014; 22(3): 330-336.

On some generalizations of the Hilbert–Hardy type discrete inequalities

Journal of the Egyptian Mathematical Society
Volume 22, Issue 3, October 2014, Page 330-336  XML PDF (574.75 K)
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Author
S.A.A. El-Marouf
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
Hilbert’s inequality; Ho¨ lder’s inequality; Hardy’s inequality; Beta and gamma functions; Weight functions
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