Complementary results to Heuvers’s characterization of logarithmic functions
Abstract
Based on a characterization of logarithmic functions due to Heuvers we develop analogous results for multiplicative, exponential and additive functions, respectively.
Keywords
means; functional equation
References
2. Himmel M., Matkowski J., Homogeneous beta-type functions, J. Math. Inequal. To appear.
3. Kannappan Pl., Functional equations and inequalities with applications, Springer Monographs in Mathematics, Springer, New York, 2009.
Wydział Matematyki, Informatyki i Ekonometrii, Uniwersytet Zielonogórski Poland
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