Some New Inequalities of Hermite-Hadamard`s Type

- Journal title : Kyungpook mathematical journal
- Volume 50, Issue 3, 2010, pp.399-410
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2010.50.3.399

Title & Authors

Some New Inequalities of Hermite-Hadamard`s Type

Saglam, Aziz; Yildirim, Huseyin; Sarikaya, Mehmet Zeki;

Saglam, Aziz; Yildirim, Huseyin; Sarikaya, Mehmet Zeki;

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;

Language

English

Cited by

1.

References

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.

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.

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.

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.

6.

J. Pecaric, F. Proschan and Y. L. Tong, Convex functions, partial ordering and statistical applications, Academic Press, New York, 1991.