On a functional equation connected with Ptolemaic inequality
Abstract
In the first part of the present paper we consider Ptolemaic inequality and give some necessary conditions for its solutions. The other part is devoted to solution of some functional equation which, simultaneously, satisfies the Ptolemaic inequality.
Keywords
Ptolemaic inequality; Wilson's functional equation
References
2. C. Alsina, J.L. Garcia-Roig, R. Ger, How to keep the quadrilateral inscribed, Abh. Math. Sem. Univ. Hamburg 65 (1995), 123-133.
3. D. Amir, Characterizations of inner product spaces, Birkhäuser Verlag, Basel-Boston-Stuttgart 1986.
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