On some new inequalities for convex functions

In the present paper we establish some new integral inequalities analogous to the well known Hadamard's inequality by using a fairly elementary analysis.

On some new inequalities for convex functions

In the present paper we establish some new integral inequalities analogous to the well known Hadamard's inequality by using a fairly elementary analysis.

___

  • Hadamard, J. Etude sur les properties des fonctions enti`eres et en particulier d’une fonction consider´ee par Riemann, J.Math.Pures appl. 58, 171-215, (1893).
  • Heing, H.P., Maligranda, L. Chebyshev inequality in function spaces, Real Analysis Exchange 17, 211-47, (1991/92).
  • Maligranda, L., Pecaric, J.E. and Persson, L.E. On some inequalities of the Gruss-Barnes and Borell type, J.Math.Ana.Appl. 187, 306-323, (1994).
  • Mitrinovic, D.S. Analytic Inequalities, Springer-Verlag, Berlin, New York 1970.
  • Pecaric, J.E., Dragomir, S.S. A generalization of Hadamard’s inequality for isotonic linear functionals, Radovi Matematicki 7, 103-107, (1991).
  • Pachpatte, B.G. On some inequalities for convex functions, RGMIA Res. Rep. Coll., 6 (E), (2003).
  • Kırmacı, U.S. Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula, Appl. Math.Comput. 147, 137–146, (2004). Mevl¨ut TUNC¸
  • Department of Mathematics, Faculty of Arts and Sciences, Kilis 7 Aralik University, Kilis, 79000, TURKEY e-mail: mevluttunc@kilis.edu.tr