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An invariance of the geometric mean with respect to Stolarsky mean-type mappings

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Abstract

We determine all pairs of Stolarsky means (E r,s , E k,m ) such that G o (E r,s , E k,m ) = G, where G = E 0,0 is the geometric mean. The convergence of the sequences of iterates of the mean-type mapping (E r,s , E k,m ) to the mapping (G, G) is considered. An application to a functional equation is given.

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Authors and Affiliations

  1. Institute of Mathematics, University of Zielona Góra, PL-65069, ZielonaGóra, Poland

    J. Błasińska-Lesk, D. Głazowska & J. Matkowski

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  1. J. Błasińska-Lesk
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  2. D. Głazowska
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  3. J. Matkowski
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Correspondence to J. Błasińska-Lesk.

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Błasińska-Lesk, J., Głazowska, D. & Matkowski, J. An invariance of the geometric mean with respect to Stolarsky mean-type mappings. Results. Math. 43, 42–55 (2003). https://doi.org/10.1007/BF03322720

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  • DOI: https://doi.org/10.1007/BF03322720

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