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
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
Journal title :
Hacettepe Journal Of Mathematics and Statistics
