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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Distinct subset sums and an inequality for convex functions


Author: Yong-Gao Chen
Journal: Proc. Amer. Math. Soc. 128 (2000), 2897-2898
MSC (1991): Primary 11B13, 11B75, 26A51, 26D15
Published electronically: April 28, 2000
MathSciNet review: 1695163
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Abstract: In this note we prove an inequality for convex functions which implies a conjecture of P. Erdos about a finite integer set with distinct subset sums.


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Additional Information

Yong-Gao Chen
Affiliation: Department of Mathematics, Nanjing Normal University, Nanjing 210097, Jiangsu, People’s Republic of China
Email: ygchen@pine.njnu.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05481-2
PII: S 0002-9939(00)05481-2
Received by editor(s): December 1, 1998
Published electronically: April 28, 2000
Additional Notes: The author was supported by the National Nature Science Foundation of China and Fok Ying Tung Education Foundation
Communicated by: David E. Rohrlich
Article copyright: © Copyright 2000 American Mathematical Society