aequationes mathematicae

, Volume 48, Issue 1, pp 100–111 | Cite as

Some remarks ons-convex functions

  • H. Hudzik
  • L. Maligranda
Research Papers


Two kinds ofs-convexity (0 <s ≤ 1) are discussed. It is proved among others thats-convexity in the second sense is essentially stronger than thes-convexity in the first, original, sense whenever 0 <s < 1. Some properties ofs-convex functions in both senses are considered and various examples and counterexamples are given.

AMS (1991) subject classification



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Copyright information

© Birkhäuser Verlag 1994

Authors and Affiliations

  • H. Hudzik
    • 1
    • 2
  • L. Maligranda
    • 1
    • 2
  1. 1.Institute of MathematicsA. Mickiewicz UniversityPoznanPoland
  2. 2.Department of MathematicsLuleå UniversityLuleåSweden

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