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
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