Some Inequalities of Hilbert’s Type and Applications

Laith Emil Azar

Some Inequalities of Hilbert’s Type and Applications

Authors

Laith Emil Azar

Keywords:

Hardy-Hilbert’s integral inequality, H¨older inequality, Weight function, Equivalent form.

Abstract

By introducing some parameters we establish an extension of Hardy-Hilbert’s integral inequality and the corresponding inequality for series. As an application the reverses, some particular results and their equivalent forms are given.

Key words and phrases. Hardy-Hilbert’s integral inequality, H¨older inequality, Weight function, Equivalent form.

2000 Mathematics Subject Classification. 26D15

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Published

2025-05-18

How to Cite

Laith Emil Azar. (2025). Some Inequalities of Hilbert’s Type and Applications. Jordan Journal of Mathematics and Statistics, 1(2), 143–162. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1206