A generalization of a half-discrete Hilbert’s inequality

Abuelela, Waleed

doi:10.1016/j.joems.2015.07.004

A generalization of a half-discrete Hilbert’s inequality

Author

Waleed Abuelela ¹^{, 2}

¹ Mathematics Department, Deanery of Academic Services, Taibah University, Al-Madinah Al-Munawwarah, Saudi Arabia Nasr City 11884, Cairo, Egypt

² Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt

10.1016/j.joems.2015.07.004

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

Journal of the Egyptian Mathematical Society

A generalization of a half-discrete Hilbert’s inequality

Volume 24, Issue 2 2016Pages 171-174

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Volume 24, Issue 2
2016
Pages 171-174