The Matkowski-Sutô problem for weighted quasi-arithmetic means

Acta Mathematica Hungarica

Volumn 100, Issue 3, 2003, Pages 237-243

  Daroczy Z ^a   Pales Zs ^a  

^a UNIVERSITY OF DEBRECEN   (Hungary)

Author keywords

Composition of means; Invariance equation; Weighted quasi arithmetic mean

Indexed keywords

EID: 0038336746     PISSN: 02365294     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025093509984     Document Type: Article

References (11)

1. Z. Daróczy and Gy. Maksa, On a problem of Matkowski, Colloq. Math., 82 (1999), 117-123.
2. Z. Daróczy, Gy. Maksa, and Zs. Páles, Extension theorems for the Matkowski-Sutô problem, Demonstrate Math., 33 (2000), 547-556.
3. Z. Daróczy and Zs. Páles, On means that are both quasi-arithmetic and conjugate arithmetic, Acta Math. Hungar., 90 (2001), 271-282.
4. Z. Daróczy and Zs. Páles, Gauss-composition of means and the solution of the Matkowski-Sutô problem, Publ. Math. Debrecen, 61 (2002), 157-218.
5. E. Leach and M. Sholander, Extended mean values, Amer. Math. Monthly, 85 (1978), 84-90.
6. E. Leach and M. Sholander, Extended mean values II, J. Math. Anal. Appl., 92 (1983), 207-223.
7. J. Matkowski, Invariant and complementary quasi-arithmetic means, Aequationes Math., 57 (1999), 87-107.
8. Zs. Páles, Inequalities for differences of powers, J. Math. Anal. Appl., 131 (1988), 271-281.
9. K. B. Stolarsky, Generalizations of the logarithmic mean, Math. Mag., 48 (1975), 87-92.
10. O. Sutô, Studies on some functional equations I, Tôhoku Math. J., 6 (1914), 1-15.
11. O. Sutô, Studies on some functional equations II, Tôhoku Math. J., 6 (1914), 82-101.