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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.

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Authors and Affiliations

  1. Department of Applied Mathematics and Probability Theory, University of Debrecen, Pf. 12, 4010, Debrecen, Hungary

    Pál Burai

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  1. Pál Burai
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Correspondence to Pál Burai.

Additional information

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

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Burai, P. Matkowski–Sutô Type Equation on Symmetrized Weighted Quasi-Arithmetic Means. Results. Math. 63, 397–408 (2013). https://doi.org/10.1007/s00025-011-0204-z

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  • DOI: https://doi.org/10.1007/s00025-011-0204-z

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