Dergiler / Turkish Journal of Mathematics / 1998 / Cilt: 22 - Sayı: 1
About Some Classical Functional Equations
- Sayfa
- 119–126
- DOI
- —
Özet
The purpose of this paper is to give a new method of finding the solution of Lobashevsky's functional equation and those of other classical functional equations. At the beginning we present the properties of solution f, \; f \neq 0, of Lobachevsky's functional equation. Using only the boundedness property on (-r, r), we deduce the continuity, convexity and differentiability properties of the solution.
Abstract
The purpose of this paper is to give a new method of finding the solution of Lobashevsky's functional equation and those of other classical functional equations. At the beginning we present the properties of solution f, \; f \neq 0, of Lobachevsky's functional equation. Using only the boundedness property on (-r, r), we deduce the continuity, convexity and differentiability properties of the solution.