Another logarithmic functional equation
Document Type
Article
Publication Date
1999
Department
Department of Mathematical Sciences
Abstract
Let f:]0,∞[→ ℝ be a real valued function on the set of positive reals. The functional equations f(x + y) - f(x) - f(y) = f(x -1 + y-1) and f(xy) = f(x) + f(y) are equivalent to each other.
Publication Title
Aequationes Mathematicae
Recommended Citation
Heuvers, K.
(1999).
Another logarithmic functional equation.
Aequationes Mathematicae,
58(3), 260-264.
http://doi.org/10.1007/s000100050112
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/4623
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