Skip to main content
SpringerLink
Log in

On a pexider-type functional equation for quasideviation means

  • Published:
Acta Mathematica Hungarica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. J. Aczél,Lectures on functional equations and their applications, Academic Press (New York, 1966).

    Google Scholar 

  2. J. Aczél-P. Erdős, The non-existence of a Hamel basis and the general solution of Cauchy's functional equation for nonnegative numbers,Publ. Math. Debrecen,12 (1965), 259–263.

    Google Scholar 

  3. J. Aczél-Z. Daróczy, Characterisierung der Entropien positiver Ordnung und der Shannonschen Entropie,Acta Math. Acad. Sci. Hungar.,14 (1963), 95–121.

    Google Scholar 

  4. J. Aczél-Z. Daróczy, Über verallgemeinerte quasilineare Mittelwerte, die mit Gewichtsfunktionen gebildet sind,Publ. Math. Debrecen,10 (1963), 171–190.

    Google Scholar 

  5. J. Aczél-Z. Daróczy,On measures of information and their characterizations, Academic Press (New York, 1975).

    Google Scholar 

  6. M. Bajraktarevic, Sur une équation fonctionnelle aux valeurs moyennes,Glasnik Mat.-Fiz. Astr.,13 (1958), 243–248.

    Google Scholar 

  7. Z. Daróczy, Über Mittelwerte und Entropien vollständiger Wahrscheinlichkeitsverteilungen,Acta Math. Acad. Sci. Hungar.,15 (1964), 203–210.

    Google Scholar 

  8. Z. Daróczy, Über eine Klasse von Mittelwerten,Publ. Math. Debrecen,19 (1972), 211–217.

    Google Scholar 

  9. Z. Daróczy-L. Losonczi, Über die Erweiterung der auf einer Punktmenge additiven Funktionen,Publ. Math. Debrecen,14 (1967), 239–245.

    Google Scholar 

  10. Z. Daróczy-Zs. Páles, Multiplicative mean values and entropies,Colloquia Math. Soc. J. Bolyai, Functions, series, and operators (Budapest, 1980), pp. 343–359.

  11. H. G. Eggleston,Convexity, Cambridge Univ. Press (New York and London, 1967).

    Google Scholar 

  12. G. H. Hardy-J. E. Littlewood-G. Pólya,Inequalities, Cambridge Univ. Press (Cambridge, 1934).

    Google Scholar 

  13. Zs. Páles, Characterization of quasideviation means,Acta Math. Acad. Sci. Hungar.,40 (1982), 243–260.

    Google Scholar 

  14. Zs. Páles, On the characterization of quasiarithmetic means with weight function,Aequationes Mathematicae,32 (1987).

  15. A. Rényi, Az információelmélet néhány alapvető kérdése,Magyar Tud. Akad. Mat.-Fiz. Oszt. Közl,10 (1960), 251–282 (in Hungarian).

    Google Scholar 

  16. A. Rényi, On measures of entropy and information,Proc. 4th Berkeley Symp. Math. Stat. Prob.,1 (1960), 547–561.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Kossuth L. University, H 4010, Debrecen PF 12, Hungary

    Zs. Páles

  2. Mathematisches Institut I, Universität Karlsruhe, D-7500, Karlsruhe, West Germany

    Zs. Páles

Authors
  1. Zs. Páles
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Páles, Z. On a pexider-type functional equation for quasideviation means. Acta Math Hung 51, 205–224 (1988). https://doi.org/10.1007/BF01903633

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01903633

Keywords

Search

Navigation