On an axiomatization of the quasi-arithmetic mean values without the symmetry axiom

Aequationes Mathematicae

Volumn 59, Issue 1-2, 2000, Pages 74-83

  Marichal, Jean Luc ^a  

^a UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038062794     PISSN: 00019054     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00000129     Document Type: Article

References (13)

1. J. ACZÉL, On mean values, Bull. Amer. Math. Soc. 54 (1948), 392-400.
2. J. ACZÉL, Lectures on functional equations and applications, Academic Press, New York, 1966.
3. J. ACZÉL AND J. DHOMBRES, Functional equations in several variables with applications to mathematics, information theory and to the natural and social sciences, Cambridge Univ. Press, Cambridge, 1989.
4. G. BEMPORAD, Sul principio della media aritmetica, Atti Accad. Naz. Lincei (6) 3 (1926), 87-91.
5. A. L. CAUCHY, Cours d'analyse de l'Ecole Royale Polytechnique, Vol. I. Analyse algébrique, Debure, Paris, 1821.
6. O. CHISINI, Sul concetto di media, Periodico di matematiche (4) 9 (1929), 106-116.
7. B. DE FINETTI, Sul concetto di media, Giorn. Ist. Ital. Attuari (3) 2 (1931), 369-396.
8. J. C. FODOR AND J.-L. MARICHAL, On nonstrict means, Aequationes Math. 54 (1997), 308-327.
9. A. N. KOLMOGOROFF, Sur la notion de la moyenne, Atti Accad. Naz. Lincei Mem. Cl. Sci. Fis. Mat. Natur. Sez. (6) 12 (1930), 388-391.
10. J.-L. MARICHAL, P. MATHONET AND E. TOUSSET, Characterization of some aggregation functions stable for positive linear transformations, Fuzzy Sets and Systems, 102 (1999), 293-314.
11. J.-L. MARICHAL AND M. ROUBENS, Characterization of some stable aggregation functions, in Proc. Intern. Conf. on Industrial Engineering and Production Management, Mons, Belgium, 1993, 187-196.
12. M. NAGUMO, Über eine Klasse der Mittelwerte, Japan. J. Math. 7 (1930), 71-79.
13. U. RICCI, Confronti tra medie, Giorn. Economisti e Rivista di Statistica 26 (1915), 38-66.