On the uniqueness of solutions of the functional equationϕ(x+f(x))=ϕ(x)+ϕ(f(x))
Research Papers
Received:
- 24 Downloads
- 4 Citations
Preview
Unable to display preview. Download preview PDF.
References
- [1]Aczél, J.,Lectures on Functional Equations and Their Applications (Academic Press, New York-London, 1966 [Math. in Science and Engineering, Vol. 19]).Google Scholar
- [2]Banach, S.,Sur l'équation fonctionnelle f (x + y) = f (x) + f (y), Fund. Math.1, 123–124 (1920).Google Scholar
- [3]Kuczma, M.,Functional Equations in a Single Variable (PWN, Warszawa, 1968 [Monografie Matematyczne, Vol. 46]).Google Scholar
- [4]Kuczma, M.,A Characterization of the Exponential and Logarithmic Functions by Functional Equations, Fund. Math.52, 283–288 (1963).Google Scholar
- [5]Sierpiński, W.,Sur l'équation fonctionnelle f (x + y) = f (x) + f (y), Fund. Math.1, 116–122 (1920).Google Scholar
Copyright information
© Birkhäuser Verlag 1973