Nicolae NEAMTU

6176

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.,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
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