Browse > Article
http://dx.doi.org/10.5666/KMJ.2010.50.3.399

Some New Inequalities of Hermite-Hadamard's Type  

Saglam, Aziz (Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University)
Yildirim, Huseyin (Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University)
Sarikaya, Mehmet Zeki (Department of Mathematics, Faculty of Science and Arts, Duzce University)
Publication Information
Kyungpook Mathematical Journal / v.50, no.3, 2010 , pp. 399-410 More about this Journal
Abstract
In this paper, we establish several new inequalities for some differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.
Keywords
Convex function; Hermite-Hadamard inequality;
Citations & Related Records

Times Cited By SCOPUS : 0
연도 인용수 순위
  • Reference
1 S. S. Dragomir and R. P. Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and trapezoidal formula, Appl. Math. Lett., 11(5)(1998), 91-95.   DOI   ScienceOn
2 J. L. W. V. Jensen, On konvexe funktioner og uligheder mellem middlvaerdier, Nyt. Tidsskr. Math. B., 16, 49-69, 1905.
3 C. E. M. Pearce and J. Pecaric, Inequalities for differentiable mappings with application to special means and quadrature formulae, Appl. Math. Lett., 13(2)(2000), 51-55.   DOI   ScienceOn
4 U. S. Kirmaci, Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula, Appl. Math. Comp., 147(2004), 137-146.   DOI   ScienceOn
5 U. S. Kirmaci and M. E. Ozdemir, On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula, Appl. Math. Comp., 153(2004), 361-368.   DOI   ScienceOn
6 J. Pecaric, F. Proschan and Y. L. Tong, Convex functions, partial ordering and statistical applications, Academic Press, New York, 1991.