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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Distinct subset sums and an inequality for convex functions
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by Yong-Gao Chen PDF
Proc. Amer. Math. Soc. 128 (2000), 2897-2898 Request permission

Abstract:

In this note we prove an inequality for convex functions which implies a conjecture of P. Erdős 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
  • MR Author ID: 304097
  • Email: ygchen@pine.njnu.edu.cn
  • 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
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 2897-2898
  • MSC (1991): Primary 11B13, 11B75, 26A51, 26D15
  • DOI: https://doi.org/10.1090/S0002-9939-00-05481-2
  • MathSciNet review: 1695163