On mean systems

  • L. Fuchs


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    J. Aczél, The notion of mean values,Norske Vid. Selsk. Forh.,19 (1946), pp. 83–86.Google Scholar
  2. 2.
    J. Aczél, On mean values and operations defined for two variables,,20 (1947), pp. 37–40.Google Scholar
  3. 3.
    J. Aczél, On mean values,Bull. Amer. Math. Soc.,54 (1948), pp. 392–400.Google Scholar
  4. 4.
    J. Aczél, Un problème de M. L. Fejér sur la construction de Leibniz,Bull. Sci., Math.,72 (1948), pp. 39–45.Google Scholar
  5. 5.
    J. Aczél undSt. Fenyö, Über die Theorie der Mittelwerte,Acta Sci. Math. Szeged,11 (1948), pp. 239–245.Google Scholar
  6. 6.
    G. Aumann, Aufbau von Mittelwerten mehrerer Argumente, II. (Analytische Mittelwerte),Math. Annalen,111 (1935), pp. 713–730.Google Scholar
  7. 7.
    R. H. Bruck, Some results in the theory of quasigroups,Trans. Amer. Math. Soc.,55 (1944), pp. 19–52.Google Scholar
  8. 8.
    St. Fenyő,A középértékek elméletéről (On the theory of mean values, in Hungarian), Doctoral thesis (Budapest, 1945).Google Scholar
  9. 9.
    B. de Finetti, Sul concetto di media,Giornale Istituto Italiano d. Attuarü,2 (1931), pp. 369–396.Google Scholar
  10. 10.
    G. H. Hardy, J. E. Littlewood andG. Pólya,Inequalities (Cambridge, 1934).Google Scholar
  11. 11.
    J. Horváth, Sur le rapport entre les systèmes de postulats caractérisant les valeurs moyennes quasi arithmétiques symétriques.C. R. Acad. Sci., Paris,225 (1947), pp. 1256–1257.Google Scholar
  12. 12.
    T. Kitagawa, On some class of weighted means,Proc. Phys.-Math. Soc. Japan,16 (1934), pp. 117–126.Google Scholar
  13. 13.
    A. Kolmogoroff, Sur la notion de la moyenne,Rendiconti Accad. d. Lincei, Roma,12 (1930), pp. 388–391.Google Scholar
  14. 14.
    D. C. Murdoch, Quasi-groups which satisfy certain associative laws,Amer. Journ. Math.,61 (1939), pp. 509–522.Google Scholar
  15. 15.
    D. C. Murdoch, Structure of abelian quasi-groups,Trans. Amer. Math. Soc.,49 (1941), pp. 392–409.Google Scholar
  16. 16.
    M. Nagumo, Über eine Klasse der Mittelwerte,Japanese Journ. Math.,7 (1930), pp. 71–79.Google Scholar
  17. 17.
    K. Toyoda, On axioms of mean transformations and automorphic transformations of abelian groups,Tohoku Math. Journ.,46 (1940), pp. 239–251.Google Scholar

Copyright information

© Magyar Tudományos Akadémia 1950

Authors and Affiliations

  • L. Fuchs
    • 1
  1. 1.Budapest

Personalised recommendations