Short note on Hilbert’s inequality | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 22, Issue 2, October 2014, Pages 174-176 PDF (381.58 K) | ||
| Document Type: Original Article | ||
| 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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