About Some Classical Functional Equations
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.
Anahtar Kelimeler:
Turk. J. Math., 22, (1998), 119-126. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.22, iss.1.
About Some Classical Functional Equations
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.
Keywords:
Turk. J. Math., 22, (1998), 119-126. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.22, iss.1.,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
Generalized Inverse Estimator and comparison with Least Squares Estimator
Finite direct sums of (D1)- modules
Timelike Ruled Surfaces in the Minkowski 3-Space-II
On a Certain Subclass of Analytic Functions with Negative Cefficients
The Non Uniform Bounds of Remainder Term in CLT for the Sum of Functions of Uniform Spacings
Sherzod MIRAKHMEDOV, Utkur KALANDAROV
Cahit Arf' s contribution to algebraic number theory and related fields
About Some Classical Functional Equations