• Title of article

    Strongly convex functions of higher order Original Research Article

  • Author/Authors

    Roman Ger، نويسنده , , Kazimierz Nikodem، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2011
  • Pages
    5
  • From page
    661
  • To page
    665
  • Abstract
    The notion of strongly nn-convex functions with modulus c>0c>0 is introduced and investigated. Relationships between such functions and nn-convex functions in the sense of Popoviciu as well as generalized convex functions in the sense of Beckenbach are given. Characterizations by derivatives are presented. Some results on strongly Jensen nn-convex functions are also given.
  • Keywords
    Convex functions of higher order , Generalized convex functions , Strongly convex functions
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Serial Year
    2011
  • Journal title
    Nonlinear Analysis Theory, Methods & Applications
  • Record number

    862881