Real Analysis Exchange

Pointwise Monotonic Functions and Generalized Subadditivity

Janusz Matkowski

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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.

Article information

Source
Real Anal. Exchange, Volume 38, Number 1 (2012), 33-62.

Dates
First available in Project Euclid: 29 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.rae/1367265639

Mathematical Reviews number (MathSciNet)
MR3083197

Zentralblatt MATH identifier
1270.39018

Subjects
Primary: 39B62: Functional inequalities, including subadditivity, convexity, etc. [See also 26A51, 26B25, 26Dxx]
Secondary: 26A48: Monotonic functions, generalizations 26A51: Convexity, generalizations

Keywords
linear inequality pointwise monotonic function subadditive functions convex functions generalizations

Citation

Matkowski, Janusz. Pointwise Monotonic Functions and Generalized Subadditivity. Real Anal. Exchange 38 (2012), no. 1, 33--62. https://projecteuclid.org/euclid.rae/1367265639


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