Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means
The authors establish some new inequalities for differentiable convex functions, which are similar to the celebrated Hermite-Hadamard's integral inequality for convex functions, and apply these inequalities to construct inequalities for special means of two positive numbers.
Main Authors: | Bo-Yan Xi, Feng Qi |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2012-01-01
|
Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2012/980438 |
Similar Items
-
Some inequalities of Hermite-Hadamard type for GA-Convex functions with applications to means
by: Tian-Yu Zhang, et al.
Published: (2013-05-01) -
Some new Hermite–Hadamard type inequalities for differentiable co-ordinated convex functions
by: Xu-Yang Guo, et al.
Published: (2015-12-01) -
On Integral Inequalities of Hermite-Hadamard Type for s-Geometrically Convex Functions
by: Tian-Yu Zhang, et al.
Published: (2012-01-01) -
INTEGRAL INEQUALITIES OF HERMITE – HADAMARD TYPE FOR ((α, m), log)-CONVEX FUNCTIONS ON CO–ORDINATES
by: Bo-Yan Xi, et al.
Published: (2015-12-01) -
Erratum to “On Integral Inequalities of Hermite-Hadamard Type for s-Geometrically Convex Functions”
by: Tian-Yu Zhang, et al.
Published: (2014-01-01)