Short note on Hilbert’s inequality

Document Type : Original Article

Author

Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, 11884 Cairo, Egypt

Abstract

Considering five different parameters, we obtain some new Hilbert-type integral inequalities
for functions f(x), g(x) in L2[0,1). Then, we extract from our results some special cases which
have been proved before.

Keywords