Some inequalities for differentiable convex and concave mappings
β Scribed by Gou-Sheng Yang; Dah-Yan Hwang; Kuei-Lin Tseng
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 442 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
Several inequalities are obtained for some differentiable convex mappings that are connected with the celebrated Her-mite-Hadamard integral inequality. Also a parallel development is made for concave functions.
π SIMILAR VOLUMES
Based on the celebrated Hermite-Hadamard integral inequality for convex functions, some inequalities for differentiable convex and concave mappings are generalized. Furthermore, the results obtained are examined in the context of special means for real numbers.
In this paper, we shall introduce two new mappings closely connected with Hadamard's inequality for convex mappings and study their main properties. Some applications are also included.