Two new extensions of Hardy-Hilbert-type integral inequalities

Authors

  • Christophe Chesneau Department of Mathematics, LMNO, University of Caen-Normandie, 14032, Caen, France

Keywords:

Hardy-Hilbert integral inequality, maximum of variables, H\, integral calculus

Abstract

In this paper, we investigate two new Hardy-Hilbert-type integral inequalities that incorporate both the maximum and the sum of the variables within the integrands. The second inequality is presented as a three-dimensional analogue of the first. Our proofs rely on the H\"older integral inequality and various integral identities. Finally, the paper concludes by posing a related open problem.

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Published

2026-05-23

How to Cite

Chesneau, C. (2026). Two new extensions of Hardy-Hilbert-type integral inequalities. International Journal of Open Problems in Computer Science and Mathematics, 19(3), 1–10. Retrieved from https://ijopcm.icsrs.uk/index.php/journal/article/view/77

Issue

Vol. 19 No. 3 (2026): Int. J. Open Problems Compt. Math., Vol. 19, No. 3, September 2026

Section

Articles

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