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Proceedings of the American Mathematical Society

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

 

 

A note on subadditive functions


Author: James S. W. Wong
Journal: Proc. Amer. Math. Soc. 44 (1974), 106
MSC: Primary 26A12
DOI: https://doi.org/10.1090/S0002-9939-1974-0327985-0
MathSciNet review: 0327985
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Abstract: A short proof is given for the following result: Let $ \phi $ be subadditive on $ (0,b)$ and $ \phi (t) < t,t \in (0,b)$. Then $ {\sup _{a \leqq t \leqq b}}\phi (t)/t < 1$ for $ 0 < a < b$.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0327985-0
Keywords: Subadditive real functions
Article copyright: © Copyright 1974 American Mathematical Society