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

1. Heuvers K.J., Another logarithmic functional equation, Aeq. Math. 58 (1999), 260–264.
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.
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Published : 2017-02-17


HimmelM. (2017). Complementary results to Heuvers’s characterization of logarithmic functions. Annales Mathematicae Silesianae, 31, 99-106. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13942

Martin Himmel  himmel@mathematik.uni-mainz.de
Wydział Matematyki, Informatyki i Ekonometrii, Uniwersytet Zielonogórski  Poland



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