Extension and Correction of an Inequality Similar to the Hardy-Hilbert Integral Inequality

  • Christophe Chesneau Department of Mathematics, LMNO, University of Caen-Normandie, 14032 Caen, France
Keywords: Hardy-Hilbert integral inequality, Hölder integral inequality, beta function

Abstract

In this article, we present an extension to the Hardy-Hilbert integral inequality. This extension incorporates a multivariate parametric power-ratio function. The original formulation of the inequality is also included, along with a correction.

Downloads

Download data is not yet available.

References

Hardy, G. H., Littlewood, J. E., & Pólya, G. (1934). Inequalities. Cambridge University Press, Cambridge.

Chen, Q., & Yang, B. C. (2015). A survey on the study of Hilbert-type inequalities. Journal of Inequalities and Applications, 2015(302). https://doi.org/10.1186/s13660-015-0829-7

Yang, B. C. (2009). Hilbert-Type Integral Inequalities. Bentham Science Publishers, United Arab Emirates. https://doi.org/10.2174/97816080505501090101

Adiyasuren, V., & Batbold, T. S. (2011). Extension of an inequality similar to the Hardy–Hilbert integral inequality. Preprint, RGMIA. (Received March 27, 2011).

Sulaiman, W. T. (2006). On a new inequality similar to the Hardy–Hilbert integral inequality. Sarajevo Journal of Mathematics, 2(15), 153–158. https://doi.org/10.5644/SJM.02.2.03

Published
2025-11-18
How to Cite
Chesneau, C. (2025). Extension and Correction of an Inequality Similar to the Hardy-Hilbert Integral Inequality. Earthline Journal of Mathematical Sciences, 16(1), 15-23. https://doi.org/10.34198/ejms.16126.02.015023