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Equivalence of ’cube’ and ’octahedron’ functional equations. (English) Zbl 0279.39005


MSC:

39B99 Functional equations and inequalities
39B05 General theory of functional equations and inequalities
39B52 Functional equations for functions with more general domains and/or ranges
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References:

[1] Aczél, J., Haruki, H., McKiernan, M. A. andSakovič, G. N.,General and Regular Solutions of Functional Equations Characterizing Harmonic Polynomials, Aequationes Math.1, 37–53 (1968). · Zbl 0157.46102 · doi:10.1007/BF01817556
[2] Djoković, D. Ž.,Triangle Functional Equation and Its Generalization, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz., No. 181–196, 47–52 (1967).
[3] Haruki, H.,On a ’Cube Functional Equation’, Aequationes Math.3, 156–159 (1969). · Zbl 0179.21203 · doi:10.1007/BF01817508
[4] Haruki, H., (Private communication).
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