A functional equation with a symmetric binary operation

作者：Daroczy Zoltan^*; Dascal Judita

来源：Aequationes Mathematicae, 2011, 82(3): 291-297.

DOI：10.1007/s00010-011-0095-9

• Mean
• functional equation
• symmetry

Let X be a nonempty set containing at least two elements and let. : X(2) -> X be a symmetric binary operation. Furthermore, let A, B, C be real parameters and let f, g : X -> R(+) be unknown functions. We investigate the functional equation

• 出版日期2011-12