Abstract
A criterion of continuity and monotonicity of one-to-one pointwise monotonic functions is proved. We apply them in the theory of generalized subadditive functions. Some open problems are presented.
Citation
Janusz Matkowski. "Pointwise Monotonic Functions and Generalized Subadditivity." Real Anal. Exchange 38 (1) 33 - 62, 2012/2013.
Information
Published: 2012/2013
First available in Project Euclid: 29 April 2013
zbMATH: 1270.39018
MathSciNet: MR3083197
Subjects:
Primary:
39B62
Secondary:
26A48
,
26A51
Keywords:
Convex functions
,
generalizations
,
linear inequality
,
pointwise monotonic function
,
subadditive functions
Rights: Copyright © 2012 Michigan State University Press