No CrossRef data available.
Article contents
REVERSED HARDY–LITTLEWOOD–PÓLYA INEQUALITIES WITH FINITE TERMS
Part of:
Inequalities
Published online by Cambridge University Press: 03 February 2023
Abstract
We prove a reversed Hardy–Littlewood–Pólya inequality with finite terms. We also give the limit of the best constant.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 108 , Issue 3 , December 2023 , pp. 459 - 463
- Copyright
- © The Author(s), 2023. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
Footnotes
This research was supported by NSFC (No. 11871278) of China.
References
Cheng, Z. and Li, C., ‘An extended discrete Hardy–Littlewood–Sobolev inequality’, Discrete Contin. Dyn. Syst. 34 (2014), 1951–1959.10.3934/dcds.2014.34.1951CrossRefGoogle Scholar
Dou, J. and Zhu, M., ‘Reversed Hardy–Littlewood–Sobolev inequality’, Int. Math. Res. Not. IMRN 2015(19) (2015), 9696–9726.10.1093/imrn/rnu241CrossRefGoogle Scholar
Hardy, G. H., Littlewood, J. E. and Pólya, G., Inequalities, 2nd edn (Cambridge University Press, Cambridge, 1952).Google Scholar
Huang, G., Li, C. and Yin, X., ‘Existence of the maximizing pair for the discrete Hardy–Littlewood–Sobolev inequality’, Discrete Contin. Dyn. Syst. 35 (2015), 935–942.10.3934/dcds.2015.35.935CrossRefGoogle Scholar
Lei, Y., Li, Y. and Tang, T., ‘Critical conditions and asymptotics for discrete systems of the Hardy–Littlewood–Sobolev type’, Tohoku Math. J., to appear.Google Scholar
Li, C. and Villavert, J., ‘An extension of the Hardy–Littlewood–Pólya inequality’, Acta Math. Sci. 31(6) (2011), 2285–2288.10.1016/S0252-9602(11)60400-1CrossRefGoogle Scholar
Lieb, E., ‘Sharp constants in the Hardy–Littlewood–Sobolev and related inequalities’, Ann. of Math. (2) 118 (1983), 349–374.10.2307/2007032CrossRefGoogle Scholar
Lieb, E., ‘Coherent states as a tool for obtaining rigorous bounds’, in: Coherent States, Past, Present and Future: Proceedings of the International Symposium, Oak Ridge, 1993 (eds. Feng, D. H., Klauder, J. R. and Strayer, M. R.) (World Scientific, Singapore, 1994), 267–278.Google Scholar