Skip to main content
SpringerLink
Log in

On (α,a)-convex functions

  • Published:
Archiv der Mathematik 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, Über eine Klasse von Funktionalgleichungen. Comment. Math. Helv.21, 247–252 (1948).

    Google Scholar 

  2. J.Aczél, Lectures on Functional Equations and their Applications. New York-London 1966.

  3. Z. Daróczy, Notwendinge und hinreichende Bedingungen für die Existenz von nichtkonstanten Lösungen linearer Funktionalgleichungen. Acta Sci. Math. (Szeged)22, 31–41 (1961).

    Google Scholar 

  4. Z. Daróczy, A bilineáris függvénnyenletek egy osztályáról. Mat. Lapok15, 52–86 (1964).

    Google Scholar 

  5. Z. Daróczy andZ. Páles, Convexity with given infinite weight sequences. Stochastica11, 5–12 (1987).

    Google Scholar 

  6. E.Hille and R. S.Phillips, Functional analysis and semigroups. Coll. Publ. Amer. Math. Soc.31 (1957).

  7. Z. Kominek andM. Kuczma, Theorem of Bernstein-Doetsch in Baire spaces. Ann. Math. Sil.5, 10–17 (1991).

    Google Scholar 

  8. Z. Kominek, On (α,a)-convex functions. Arch. Math.58, 64–69 (1992).

    Google Scholar 

  9. M.Kuczma, An Introduction to the Theory of Functional Equations and Inequalities, Cauchy's Equation and Jensen's Inequality. Warsaw-Cracow-Katowice 1985.

  10. N. Kuhn, A note ont-convex functions, General Inequalities 4. Internat. Ser. Numer. Math.71, 269–276 (1984).

    Google Scholar 

  11. N. Kuhn, On the structure of (s, t)-convex functions, General Inequalities 5. Internat. Ser. Numer. Math.80, 161–174 (1987).

    Google Scholar 

  12. L. Losonczi, Bestimmung aller nichtkonstanten Lösungen von linearen Funktionalgleichungen. Acta Sci. Math. (Szeged)25, 250–254 (1964).

    Google Scholar 

  13. G. Rodé, Eine abstrakte Version des Satzes von Hahn-Banach. Arch. Math.31, 474–481 (1978).

    Google Scholar 

  14. F. A.Valentine, Convex sets. New York-San Francisco-Toronto-London 1964.

Download references

Author information

Author notes

  1. Janusz Matkowski

    Present address: Department of Mathematics, Technical University, Willowa 2, 43-309, Bielsko-Biała, Poland

  2. Marek Pycia

    Present address: , Rafowa 21, 43-300, Bielsko-Biała, Poland

Authors and Affiliations

    Authors
    1. Janusz Matkowski
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. Marek Pycia
      View author publications

      You can also search for this author in PubMed Google Scholar

    Additional information

    Supported by KBN (Poland) Grant 2 P301 05303.

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Matkowski, J., Pycia, M. On (α,a)-convex functions. Arch. Math 64, 132–138 (1995). https://doi.org/10.1007/BF01196632

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01196632

    Keywords

    Search

    Navigation