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Remark on a paper by Aczél and Ostrowski

Published online by Cambridge University Press:  09 April 2009

Wolfgang Walter
Wolfgang Walter
Affiliation:
Professor Dr. Wolfgang Walter, Mathematisches Institut I Universität Karlsruhe 75 Karlsruhe, Germany. University of Waterloo Waterloo, Ontario Canada.
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The objective of the paper Aczél and Ostrowski (1973) is to show in an elementary way that any real-valued function f, defined on (0,1) and satisfying he inquality , where n ≧ 3 is fixed, is necessary of the form .

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 22 , Issue 2 , September 1976 , pp. 165 - 166
Copyright
Copyright © Australian Mathematical Society 1976

References

Aczél, J. and Ostrowski, A. M. (1973), ‘On the characterization of Shannon's entropy by Shannon's inequality’, J. Austral. Math. Soc. 16, 368–374.CrossRefGoogle Scholar