Matkowski–Sutô Type Equation on Symmetrized Weighted Quasi-Arithmetic Means
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- Burai, P. Results. Math. (2013) 63: 397. doi:10.1007/s00025-011-0204-z
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We solve a functional equation involving symmetrized weighted quasi-arithmetic means. More precisely we investigate the invariance of the arithmetic mean in the class of symmetrized weighted quasi-arithmetic means. Some regularity on the unknown generator functions is assumed.