
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage[dvips]{graphicx}

\setcounter{MaxMatrixCols}{10}
%TCIDATA{OutputFilter=Latex.dll}
%TCIDATA{Version=5.50.0.2960}
%TCIDATA{<META NAME="SaveForMode" CONTENT="1">}
%TCIDATA{BibliographyScheme=Manual}
%TCIDATA{LastRevised=Sunday, July 01, 2012 13:47:44}
%TCIDATA{<META NAME="GraphicsSave" CONTENT="32">}

\textwidth=160mm \textheight=255mm \oddsidemargin=5mm
\topmargin=-20mm
\renewcommand{\baselinestretch}{1.5}
\pagenumbering{gobble}
\input{tcilatex}
\begin{document}


\begin{center}
\textbf{New Inequalities of Hadamard Type for Quasi-Convex Functions}

\hrule

M.Emin \"{O}zdemir$^{1}$, \textbf{\c{C}etin Y\i ld\i z}$^{1},$ Ahmet Ocak
Akdemir$^{2}$ and Erhan Set$^{3}$

$^{1}$K.K. Education Faculty, Department of Mathematics, Ataturk University,
25240, Erzurum, Turkey $^{2}$Faculty of Science and Letters, Department of
Mathematics, A\u{g}r\i\ Ibrahim \c{C}e\c{c}en University, 04100, A\u{g}r\i ,
Turkey $^{3}$Department of Mathematics, Faculty of Science and Arts, D\"{u}%
zce University, D\"{u}zce, Turkey
\end{center}

\textbf{Abstract}

In this paper some new Hadamard-type inequalities for functions whose second
derivatives in absolute values are quasi-convex are established. Our results
gives new estimations for quasi-convex functions.

\textbf{References}

[1] M. Alomari, M. Darus and U.S. K\i rmac\i , Refinements of Hadamard-type
inequalities for quasi-convex functions with applications to trapezoidal
formula and to special means, Comp. Math. Appl., 59 (2010), 225--232.

[2] M. Alomari, M. Darus and S.S. Dragomir, New inequalities of
Hermite-Hadamard's type for functions whose second derivatives absolute
values are quasi-convex, Tamk. J. Math. 41 (2010) 353-359.

[3] M. Alomari and M. Darus, Some Ostrowski type inequalities for
quasi-convex functions with applications to special means, RGMIA, 13 (2)
(2010), article No. 3. Preprint.

[4] M. Alomari and M. Darus, On some inequalities Simpson-type via
quasi-convex functions with applications, Trans. J. Math. Mech., (2) (2010),
15--24.

[5] D. A. Ion, Some estimates on the Hermite-Hadamard inequality through
quasi-convex functions, Annals of University of Craiova Math. Comp. Sci.
Ser., 34 (2007), 82--87.

[6] J.E. Pe\v{c}ari\'{c}, F. Porschan and Y.L. Tong, Convex Functions,
Partial Orderings, and Statistical Applications, Academic Press Inc., 1992.%
\hrule

\end{document}
