KONVEKS FONKSİYONLAR İÇİN YENİ EŞİTSİZLİKLER

Abstract

Bu makalede biz temel analiz işlemlerini kullanarak literatürde iyi bilinen Hadamard eşitsizliğine benzer yeni integral eşitsizlikleri kurduk.

References

1. Dragomir, S.S. (1992) Two mappings in connection to Hadamard's inequalities, J.Math.Anal.Appl. 167, 49-56.
2. Hadamard, J. (1893).Etude sur les properties des fonctions entieres et en particulier d'une fonction consideree par Riemann, J.Math.Pures appl. 58, 171-215.
3. Heing, H.P., Maligranda, L. (1991/92) Chebyshev inequality in function spaces, Real Analysis Exchange 17, 211-47.
4. Kırmacı, U.S. (2004). Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula, Appl. Math.Comput. 147, 137—146.
5. Maligranda, L., Pecaric, J.E. and Persson, L.E. (1994). On some inequalities of the Gruss-Barnes and Borell type, J.Math.Ana.Appl. 187, 306–323.
6. Mitrinovic, D.S. Analytic Inequalities, Springer-Verlag, Berlin, New York 1970.
7. Pachpatte, B.G. (2003). On some inequalities for convex functions, RGMIA Res. Rep. Coll., 6(E)
8. Pecaric, J.E., Dragomir, S.S. (1991). A generalization of Hadamard's inequality for Isotonic linear functionals, Radovi Matematicki 7, 103- 107. ****