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On a Functional Equation Appearing on the Margins of a Mean Invariance Problem


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[1] M. Bajraktarević, Sur une équation fonctionelle aux valeurs moyennes, Glasnik Mat.-Fiz. Astronom. Društvo Mat. Fiz. Hrvatske. Ser. II 13 (1958), 243–248.Search in Google Scholar

[2] P. Burai, A Matkowski-Sutô type equation, Publ. Math. Debrecen 70 (2007), 233–247.10.5486/PMD.2007.3622Search in Google Scholar

[3] Z. Daróczy, Gy. Maksa and Zs. Páles, On two variable means with variable weights, Aequationes Math. 67 (2004), 154–159.10.1007/s00010-003-2693-7Search in Google Scholar

[4] Z. Daróczy and Zs. Páles, On means that are both quasi-arithmetic and conjugate arithmetic, Acta Math. Hungar. 90 (2001), 271–282.10.1023/A:1010641702978Search in Google Scholar

[5] Z. Daróczy and Zs. Páles, Gauss-composition of means and the solution of the Matkowski-Sutô problem, Publ. Math. Debrecen 61 (2002), 157–218.10.5486/PMD.2002.2713Search in Google Scholar

[6] Z. Daróczy and Zs. Páles, A Matkowski-Sutô problem for weight quasi-arithmetic means, Ann. Univ. Sci. Budapest. Sci. Comput. 22 (2003), 69–81.Search in Google Scholar

[7] J. Domsta and J. Matkowski, Invariance of the arithmetic mean with respect to special mean-type mappings, Aequationes Math. 71 (2006), 70–85.10.1007/s00010-005-2791-9Search in Google Scholar

[8] J. Jarczyk, Invariance in the class of weighted quasi-arithmetic means with continuous generators, Publ. Math. Debrecen 71 (2007), 279–294.10.5486/PMD.2007.3625Search in Google Scholar

[9] J. Jarczyk, Invariance of quasi–arithmetic means with function weights. J. Math. Anal. Appl. 353 (2009), 134–140.Search in Google Scholar

[10] J. Jarczyk, Invariance in a class of Bajraktarević means, Nonlinear Anal. 72 (2010), 2608–2619.10.1016/j.na.2009.11.008Search in Google Scholar

[11] J. Jarczyk and W. Jarczyk, Invariance of means, Aequationes Math. 92 (2018), 801–872.10.1007/s00010-018-0564-5Search in Google Scholar

[12] J. Jarczyk and J. Matkowski, Invariance in the class of weighted quasi-arithmetic means, Ann. Polon. Math. 88 (2006), 39–51.10.4064/ap88-1-3Search in Google Scholar

[13] J. Matkowski, Invariant and complementary quasi-arithmetic means. Aequationes Math. 57 (1999), 87–107.Search in Google Scholar

[14] J. Matkowski, Invariance of Bajraktarević mean with respect to quasi-arithmetic means, Publ. Math. Debrecen 80 (2012), 441–45.10.5486/PMD.2012.5151Search in Google Scholar

[15] J. Matkowski, Invariance of Bajraktarević means with respect to the Beckenbach-Gini means, Math. Slovaca 63 (2013), 493–502.10.2478/s12175-013-0111-8Search in Google Scholar

[16] Zs. Páles and A. Zakaria, On the local and global comparison of generalized Bajraktarević means, J. Math. Anal. Appl. 455 (2017), 792–815.10.1016/j.jmaa.2017.05.073Search in Google Scholar

[17] Zs. Páles and A. Zakaria, On the invariance equation for two-variable weighted non-symmetric Bajraktarević means, Aequationes Math. 93 (2019), 37–57.10.1007/s00010-018-0560-9Search in Google Scholar

eISSN:
2391-4238
ISSN:
0860-2107
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics