Skip to main content
Log in

Sum form equations of multiplicative type

  • 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

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

Instant access to the full article PDF.

References

  1. J. Aczél,Lectures on Functional Equations and their Applications, Academic Press (New York, 1966).

    Google Scholar 

  2. J. Aczél and C. T. Ng, Determination of all symmetric recursive information measures of multiplicative type ofn positive discrete probability distributions,Linear Algebra and Appl.,52/53 (1983), 1–30.

    Google Scholar 

  3. B. R. Ebanks, PL. Kannappan and C. T. Ng, Generalized fundamental equation of information of multiplicative type,Aequationes Math.,32 (1987), 19–31.

    Google Scholar 

  4. PL. Kannappan and P. K. Sahoo, Representation of sum form information measures with additivity of type (α, β) on open domain, in:Computing and Information (R. Janicki and W. W. Kockodaj eds.) Elsevier Science Publishers B. V. (North Holland) (1989), pp. 243–253.

    Google Scholar 

  5. L. Losonczi, Sum form equations on an open domain II,Utilitas Math.,29 (1986), 125–132.

    Google Scholar 

  6. Gy. Maksa, The general solution of a functional equation arising in information theory,Acta Math. Hungar.,49 (1987), 213–217.

    Google Scholar 

  7. P. N. Rathie and PL. Kannappan, On a functional equation connected with Shannon's entropy,Funkcialaj Ekvacioj,14 (1971), 153–159.

    Google Scholar 

  8. W. Sander, The fundamental equation of information and its generalizations,Aequationes Math.,33 (1987), 150–182.

    Google Scholar 

  9. C. E. Shannon, A mathematical theory of communication,Bell System Tech. J.,27 (1948), 378–423 and 623–656.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kannappan, P., Sahoo, P.K. Sum form equations of multiplicative type. Acta Math Hung 61, 203–217 (1993). https://doi.org/10.1007/BF01874681

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01874681

Keywords

Navigation