• Title of article

    NEW OSTROWSKI TYPE INEQUALITIES FOR m-CONVEX FUNCTIONS an‎d APPLICATIONS

  • Author/Authors

    Kavurmacı, Havva Ataturk University - K. K. Education Faculty - Department of Mathematics, Erzurum, Turkey , Ozdemir, M. Emin Ataturk University - K. K. Education Faculty - Department of Mathematics, Erzurum, Turkey , Avcı, Merve Ataturk University - K. K. Education Faculty - Department of Mathematics, Erzurum, Turkey

  • Pages
    11
  • From page
    135
  • To page
    145
  • Abstract
    In this paper we establish new inequalities of Ostrowski type, for functions whose derivatives in absolute value are m-convex. We also give some applications to special means of positive real numbers. Finally, we obtain some error estimates for the midpoint formula.
  • Keywords
    m , convex function , Starshaped function , Convex function , Ostrowski inequality , Hermite , Hadamard inequality , H¨older inequality , Power Mean inequality , Special means , The midpoint formula , Lipschitzian mapping
  • Journal title
    Hacettepe Journal Of Mathematics and Statistics
  • Serial Year
    2011
  • Journal title
    Hacettepe Journal Of Mathematics and Statistics
  • Record number

    2650948