On a New Inequality Similar to the Hardy - Hilbert Integral Inequality

Authors

  • W. T. Sulaiman Department of Mathematics, College of Computer Science & Mathematics, University of Mosul, Mosul, Iraq

DOI:

https://doi.org/10.5644/SJM.02.2.03

Keywords:

Hilbert’s integral inequality, weight coefficient, gamma function

Abstract

A new inequality similar to the Hardy-Hilbert integral inequality is proved. Some special cases are also deduced.

 

2000 Mathematics Subject Classification. 26D15

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References

G. H. Hardy, Note on a theorem of Hilbert concerning series of positive terms, Proc. Math. Soc., 23 (2) (1925), Records of Proc. XLV-XLVI.

G. H. Hardy, J. E. Littlewood and G. Polya, Inequalities, Cambridge University Press, Cambidge, 1952.

D. S. Mitrinovi´c, J. E. Peˇcari´c and A. M. Fink, Inequalities involving functions and their integrals and derivatives, Kluwer Academic Publishers, Boston, 1991.

B. Yang, On Hardy-Hilbert’s integral inequality, J. Math. Anal. Appl., 261 (2001), 295–306.

B. Yang, On a multiple Hardy- Hilbert’s integral inequality, Chinese Annals Math., 24A (6) (2003), 743–750.

B. Yang, On a new multiple extension of Hilbert’s integral inequality, JIPAM, Volume 6, Issue 2, Article 39, 2005.

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Published

12.06.2024

How to Cite

Sulaiman, W. T. (2024). On a New Inequality Similar to the Hardy - Hilbert Integral Inequality. Sarajevo Journal of Mathematics, 2(2), 153–158. https://doi.org/10.5644/SJM.02.2.03

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Articles