A generalization of a half-discrete Hilbert’s inequality
Abuelela, W. (2016). A generalization of a half-discrete Hilbert’s inequality. EKB Journal Management System, 24(2), 171-174. doi: 10.1016/j.joems.2015.07.004
Waleed Abuelela. "A generalization of a half-discrete Hilbert’s inequality". EKB Journal Management System, 24, 2, 2016, 171-174. doi: 10.1016/j.joems.2015.07.004
Abuelela, W. (2016). 'A generalization of a half-discrete Hilbert’s inequality', EKB Journal Management System, 24(2), pp. 171-174. doi: 10.1016/j.joems.2015.07.004
Abuelela, W. A generalization of a half-discrete Hilbert’s inequality. EKB Journal Management System, 2016; 24(2): 171-174. doi: 10.1016/j.joems.2015.07.004

A generalization of a half-discrete Hilbert’s inequality

Journal of the Egyptian Mathematical Society
Volume 24, Issue 2, 2016, Pages 171-174    PDF (295.78 K)
DOI: 10.1016/j.joems.2015.07.004
Author
Waleed Abuelela1, 2
1Mathematics Department, Deanery of Academic Services, Taibah University, Al-Madinah Al-Munawwarah, Saudi Arabia Nasr City 11884, Cairo, Egypt
2Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt
Abstract
Considering different parameters and by means of Hadamard’s inequality, we obtain
new and more general half-discrete Hilbert-type inequalities. Then we extract from our results some
special cases that have been proved previously by other authors.
Keywords
Hilbert inequality; Hölder inequality; Hadamard’s inequality; Beta function
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