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

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