Quasi-arithmetic means of continuous functions

Takashi ITO; Chiê NARA

doi:10.2969/jmsj/03840697

Takashi ITO, Chiê NARA

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JOURNAL FREE ACCESS

1986 Volume 38 Issue 4 Pages 697-720

DOI https://doi.org/10.2969/jmsj/03840697

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Published: 1986 Received: April 25, 1985 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) J. Aczél, The notion of mean values, Norke Vid. Selsk. Forh., 19 (1946), 83-86.
2) J. Aczél, On mean values, Bull. Amer. Math. Soc., 54 (1948), 392-400.
3) J. Aczél, I. Fenyö and J. Horváth, Sur certaines classes de fonctionnelles, Portugal. Math., 8 (1949), 1-11.
4) J. Aczél, Lectures on functional equations and their applications, Academic Press, New York and London, 1966.
5) B. de Finetti, Sur concetto di media, Gionale dell'Instituto Italiano degli Attuarii, 2 (1931), 369-396.
6) G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Cambridge Univ. Press, 1934.
7) B. Jessen, Bemaerkninger om konvekse Funktioner og Uligheder imellem Middel-vaerdier. I., Mat. Tidsskrift B, 2 (1931), 17-28.
8) A. N. Kolmogorov, Sur la notion de la moyenne, Atti Accad. Naz. Lincei Rend., (6) 12 (1930), 388-391.
9) N. Nagumo, Über eine Klasse von Mittelwerten, Japan. J. Math., 7 (1930), 71-79.

Right : [1] J. Aczél, The notion of mean values, Norke Vid. Selsk. Forh., 19 (1946), 83-86.
[2] J. Aczél, On mean values, Bull. Amer. Math. Soc., 54 (1948), 392-400.
[3] J. Aczél, I. Fenyö and J. Horváth, Sur certaines classes de fonctionnelles, Portugal. Math., 8 (1949), 1-11.
[4] J. Aczél, Lectures on functional equations and their applications, Academic Press, New York and London, 1966.
[5] B. de Finetti, Sur concetto di media, Gionale dell'Instituto Italiano degli Attuarii, 2 (1931), 369-396.
[6] G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Cambridge Univ. Press, 1934.
[7] B. Jessen, Bemaerkninger om konvekse Funktioner og Uligheder imellem Middelvaerdier. I., Mat. Tidsskrift B, 2 (1931), 17-28.
[8] A. N. Kolmogorov, Sur la notion de la moyenne, Atti Accad. Naz. Lincei Rend., (6) 12 (1930), 388-391.
[9] N. Nagumo, Über eine Klasse von Mittelwerten, Japan. J. Math., 7 (1930), 71-79.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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