An extension theorem for a Matkowski–sutÔ problem

Colloquium Mathematicum

Volumn 95, Issue 2, 2003, Pages 153-161

  Daróczy, Zoltán ^a   Hajdu, Gabriella ^a   Ng, Che Tat ^b  

^a UNIVERSITY OF DEBRECEN   (Hungary)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Functional equation; Weighted quasi arithmetic mean

Indexed keywords

EID: 16244393769     PISSN: 00101354     EISSN: 17306302     Source Type: Journal    
DOI: 10.4064/cm95-2-1     Document Type: Article

References (8)

1. J. Aczél, Lectures on Functional Equations and their Applications, Academic Press, New York, 1966.
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3. Z. Daróczy and C. T. Ng, A functional equation on complementary means, Acta Sci. Math. (Szeged) 66 (2000), 603–611.
4. Z. Daróczy and Zs. Páes, On means that are both quasi-arithmetic and conjugate arithmetic, Acta Math. Hungar. 90 (2001), 271–282.
5. Z. Daróczy and Zs. Páes, Gauss-composition of means and the solution of the Matkowski–Sutô problem, Publ. Math. Debrecen 61 (2002), 157–218.
6. Z. Daróczy and Zs. Páes, The Matkowski–Sutô problem for weighted quasi-arithmetic means, submitted.
7. J. Matkowski, Invariant and complementary quasi-arithmetic means, Aequationes Math. 57 (1999), 87–107.
8. O. Sutô, Studies on some functional equations I–II, Tôhoku Math. J. 6 (1914), 1–15 and 82–101.