Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Functional equations on convex sets

  • 32 Accesses

  • 7 Citations

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


  1. [1]

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

  2. [2]

    D. Ž. Djokovič, A representation theorem for (X 1−1)(X 2−1)...(X n −1), and its applications,Ann. Polon. Math.,22 (1969), 189–198.

  3. [3]

    G. H. Hardy, J. E. Littlewood and G. Pólya,Inequalities (Cambridge, 1934).

  4. [4]

    M. Kuczma,An Introduction to the Theory of Functional Equations and Inequalities, Cauchy's Equation and Jensen's Inequality, Univ. Ślask-P.W.N. (Warsawa-Kraków-Katowice, 1985).

  5. [5]

    R. Larsen,Functional Analysis, Marcel Dekker, INC (New York, 1973).

  6. [6]

    W. Rudin,Functional Analysis (New York, 1973).

  7. [7]

    L. Székelyhidi, An extension theorem for a functional equation.Publ. Math. Debrecen,28 (1981), 257–279.

  8. [8]

    L. Székelyhidi,Convolution Type Functional Equations on Topological Abelian Groups, World Scientific (Singapore-New Jersey-London-Hong Kong, 1991).

  9. [9]

    L. Székelyhidi, Local polynomials and functional equations,Publ. Math. Debrecen,30, (1983), 283–290.

  10. [10]

    K. Yosida,Functional Analysis (New York, 1980).

Download references

Author information

Additional information

Dedicated to Professor K. Tandori on the occasion of his seventieth birthday

This work was supported by the National Science Foundation, Grant No. 1652.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Daróczy, Z., Maksa, G. Functional equations on convex sets. Acta Math Hung 68, 187–195 (1995).

Download citation


  • Functional Equation