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KONVEKS FONKSİYONLAR İÇİN YENİ EŞİTSİZLİKLER

Year 2010, Volume: 3 Issue: 1, 91 - 101, 11.03.2014

Abstract

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

References

  • 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. ****
Year 2010, Volume: 3 Issue: 1, 91 - 101, 11.03.2014

Abstract

References

  • 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. ****
There are 8 citations in total.

Details

Primary Language Turkish
Journal Section Makaleler
Authors

Mevlüt Tunç

S. Uğur Kırmacı

Publication Date March 11, 2014
Published in Issue Year 2010 Volume: 3 Issue: 1

Cite

APA Tunç, M., & Kırmacı, S. U. (2014). KONVEKS FONKSİYONLAR İÇİN YENİ EŞİTSİZLİKLER. Erzincan University Journal of Science and Technology, 3(1), 91-101.