Extensions of two referenced forms of the Hilbert integral inequality
References
- L. E. Azar, On some extensions of Hardy-Hilbert’s inequality and applications, J. Inequal. Appl. 2008 (2008), 1-14.
- L. E. Azar, Two new forms of Hilbert integral inequality, Math. Inequal. Appl. 17 (2014), 937-946.
- C. Chesneau, Refining and extending two special Hardy-Hilbert-type integral inequalities, Ann. Math. Comp. Sci. 28 (2025), 21-45.
- G. H. Hardy, J. E. Littlewood, G. Pólya, Inequalities, Cambridge University Press, Cambridge, 1934.
- Y. Li, J. Wu, B. He, A new Hilbert-type integral inequality and the equivalent form, Int. J. Math. Math. Sci. 8 (2006), 1-6.
- A. Sağlam, H. Yildirim, M. Z. Sarikaya, Generalization of Hardy-Hilbert’s inequality and applications, Kyungpook Math. J. 50 (2010), 131-152.
- M. Z. Sarikaya, M. S. Bingöl, Recent developments of integral inequalities of the Hardy-Hilbert type, Turkish J. Ineq. 8 (2024), 43-54.
- W. T. Sulaiman, New Hardy-Hilbert’s-type integral inequalities, Int. Math. Forum 3 (2008), 2139-2147.
- W. T. Sulaiman, New kinds of Hardy-Hilbert’s integral inequalities, Appl. Math. Lett. 23 (2010), 361-365.
- W. T. Sulaiman, An extension of Hardy-Hilbert’s integral inequality, Afr. Diaspora J. Math. 10 (2010), 66-71.
- W. T. Sulaiman, Hardy-Hilbert’s integral inequality in new kinds, Math. Commun. 15 (2010), 453-461.
- B. Sun, Best generalization of a Hilbert type inequality, J. Inequal. Pure Appl. Math. 7 (2006), 1-7.
Language: English
Page range: 50 - 59
Submitted on: Jan 18, 2026
Accepted on: May 17, 2026
Published on: May 29, 2026
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open
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© 2026 Christophe Chesneau, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.