KONVEKS FONKSİYONLAR İÇİN YENİ EŞİTSİZLİKLER
Yıl 2010,
Cilt: 3 Sayı: 1, 91 - 101, 11.03.2014
Mevlüt Tunç
,
S. Uğur Kırmacı
Öz
Bu makalede biz temel analiz işlemlerini kullanarak literatürde iyi bilinen Hadamard eşitsizliğine benzer yeni integral eşitsizlikleri kurduk.
Kaynakça
- Dragomir, S.S. (1992) Two mappings in connection to Hadamard's inequalities, J.Math.Anal.Appl. 167, 49-56.
- 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.
- Heing, H.P., Maligranda, L. (1991/92) Chebyshev inequality in function spaces, Real Analysis Exchange 17, 211-47.
- 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.
- 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.
- Mitrinovic, D.S. Analytic Inequalities, Springer-Verlag, Berlin, New York 1970.
- Pachpatte, B.G. (2003). On some inequalities for convex functions, RGMIA Res. Rep. Coll., 6(E)
- Pecaric, J.E., Dragomir, S.S. (1991). A generalization of Hadamard's inequality for Isotonic linear functionals, Radovi Matematicki 7, 103- 107. ****
Yıl 2010,
Cilt: 3 Sayı: 1, 91 - 101, 11.03.2014
Mevlüt Tunç
,
S. Uğur Kırmacı
Kaynakça
- Dragomir, S.S. (1992) Two mappings in connection to Hadamard's inequalities, J.Math.Anal.Appl. 167, 49-56.
- 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.
- Heing, H.P., Maligranda, L. (1991/92) Chebyshev inequality in function spaces, Real Analysis Exchange 17, 211-47.
- 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.
- 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.
- Mitrinovic, D.S. Analytic Inequalities, Springer-Verlag, Berlin, New York 1970.
- Pachpatte, B.G. (2003). On some inequalities for convex functions, RGMIA Res. Rep. Coll., 6(E)
- Pecaric, J.E., Dragomir, S.S. (1991). A generalization of Hadamard's inequality for Isotonic linear functionals, Radovi Matematicki 7, 103- 107. ****
Toplam 8 adet kaynakça vardır.