Real Analysis Exchange
- Real Anal. Exchange
- Volume 38, Number 1 (2012), 33-62.
Pointwise Monotonic Functions and Generalized Subadditivity
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.
Real Anal. Exchange, Volume 38, Number 1 (2012), 33-62.
First available in Project Euclid: 29 April 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 39B62: Functional inequalities, including subadditivity, convexity, etc. [See also 26A51, 26B25, 26Dxx]
Secondary: 26A48: Monotonic functions, generalizations 26A51: Convexity, generalizations
Matkowski, Janusz. Pointwise Monotonic Functions and Generalized Subadditivity. Real Anal. Exchange 38 (2012), no. 1, 33--62. https://projecteuclid.org/euclid.rae/1367265639