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New analogues of Hilbert integral inequality of three variables


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Authors

  • Nizar Kh. Al-Oushoush Department of Mathematics, Faculty of Science, Al-Balqa Applied University, P.O. Box 19117, Salt, Jordan

Keywords:

Hilbert’s integral inequality, Hölder inequality, Equivalent Forms. 2000 Mathematics Subject Classification: 26D15.

Abstract

In this paper, we apply Hölder inequality, use the special functions Gamma and Beta functions as tools, and use special substitutions to evaluate the integrals that appears in the main results to give a new form for Hilbert Integral Inequality for three variables. The reverse form and equivalent forms of the inequality in theorem 1 are also obtained. The constant we obtained is the best constant.

References

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Published

2023-07-18 — Updated on 2023-07-19

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How to Cite

Nizar Kh. Al-Oushoush. (2023). New analogues of Hilbert integral inequality of three variables. Results in Nonlinear Analysis, 6(2), 75–87. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/266 (Original work published July 18, 2023)

Issue

Vol. 6 No. 2 (2023): volume 6 issue 2

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Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.