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ON A QUESTION OF J. M. RASSIAS

Part of: Real functions

Published online by Cambridge University Press:  27 September 2013

WŁODZIMIERZ FECHNER
WŁODZIMIERZ FECHNER*
Affiliation:
Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice, Poland email [email protected]
*
[email protected]
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Abstract

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Answering a problem posed by John Michael Rassias, we study the functional inequality

$$\begin{eqnarray*}f(x+ y+ xy)\leq f(x)+ f(y)+ f(xy),\end{eqnarray*}$$
with real unknown mapping $f$.

Keywords

functional inequalitysubadditive mappingsDini derivatives

MSC classification

Secondary: 39B62: Functional inequalities, including subadditivity, convexity, etc. 26A51: Convexity, generalizations
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 89 , Issue 3 , June 2014 , pp. 494 - 499
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

References

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