AI Summary & Key Takeaways
AI InsightUsing only the boundedness property on (-r, r), we deduce the continuity, convexity and differentiability properties of the solution.
📌 3 Key Takeaways
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.
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.