On subadditive functions

Authors:
Janusz Matkowski and Tadeusz Świątkowski

Journal:
Proc. Amer. Math. Soc. **119** (1993), 187-197

MSC:
Primary 26A15; Secondary 39B72

MathSciNet review:
1176072

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Abstract: The main result says that every one-to-one subadditive function such that must be continuous everywhere. A construction of a broad class of discontinuous subadditive bijections of which are bounded in every vicinity of 0 is given. Moreover, a problem of extension of a subadditive function defined in to a subadditive even function in is considered

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1993-1176072-2

Keywords:
One-to-one subadditive functions in ,
subadditive bijections of ,
even subadditive functions in

Article copyright:
© Copyright 1993
American Mathematical Society