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Solution of a problem of Z. Daróczy, J. Jarczyk and W. Jarczyk and generalization of a theorem of R. Ger and T. Kochane

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Abstract

We generalize a theorem proved by R. Ger and T. Kochanek [4]. Hence we obtain the solution of a problem posed by Z. Daróczy, J. Jarczyk and W. Jarczyk [2].

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References

  1. Z. Daróczy, J. Jarczyk and W. Jarczyk, 2.8 Remark. Report of Meeting. The 52nd International Symposium on Functional Equations, Grillhof, Innsbruck (Austria), June 22–29, 2014, Aequat. Math., 89 (2015), 1509–1551.

  2. Daróczy Z., Jarczyk J., Jarczyk W.: From a theorem of R. Ger and T. Kochanek to marginal joints of means. Aequat. Math. 90, 211–233 (2016)

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  3. J. Dhombres, Some Aspects of Functional Equations, Lecture Notes, Chulalongkorn University, Department of Mathematics (Bangkok, 1979).

  4. Ger R., Kochanek T.: An inconsistency equation involving means. Colloq. Math. 115, 87–99 (2009)

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  1. ul. 1 Maja 56/80, 41-200, Sosnowiec, Poland

    M. Balcerowski

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  1. M. Balcerowski
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Correspondence to M. Balcerowski.

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Balcerowski, M. Solution of a problem of Z. Daróczy, J. Jarczyk and W. Jarczyk and generalization of a theorem of R. Ger and T. Kochane. Acta Math. Hungar. 155, 241–247 (2018). https://doi.org/10.1007/s10474-018-0816-9

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  • DOI: https://doi.org/10.1007/s10474-018-0816-9

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