, Volume 63, Issue 1-2, pp 397-408
Date: 15 Sep 2011

Matkowski–Sutô Type Equation on Symmetrized Weighted Quasi-Arithmetic Means

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Abstract

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.

This research has been supported by the Hungarian Scientific Research Fund (OTKA) Grant NK-81402 and OTKA “Mobility” call Human-MB08A-84581.