A sum-division estimate of reals
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- by Liangpan Li and Jian Shen PDF
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Abstract:
Let $A$ be a finite set of positive real numbers. We present a sum-division estimate: \[ |A+A|^2|A/A|\geq \frac {|A|^4}{4}.\]References
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Additional Information
- Liangpan Li
- Affiliation: Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, People’s Republic of China – and – Department of Mathematics, Texas State University, San Marcos, Texas 78666
- Email: liliangpan@yahoo.com.cn
- Jian Shen
- Affiliation: Department of Mathematics, Texas State University, San Marcos, Texas 78666
- Email: js48@txstate.edu
- Received by editor(s): May 12, 2009
- Received by editor(s) in revised form: May 18, 2009
- Published electronically: August 24, 2009
- Communicated by: Ken Ono
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 101-104
- MSC (2000): Primary 11B75
- DOI: https://doi.org/10.1090/S0002-9939-09-10052-7