Short note on Hilbert’s inequality | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 22, Issue 2, October 2014, Page 174-176 PDF (381.58 K) | ||||
| Document Type: Original Article | ||||
 View on SCiNiTO | ||||
| Author | ||||
| Waleed Abuelela | ||||
| 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 | ||||
| Hilbert inequality; Cauchy inequality; Beta function | ||||
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