- Research Article
- Open Access
Fejér-Type Inequalities (I)
© Kuei-Lin Tseng et al. 2010
- Received: 3 May 2010
- Accepted: 3 December 2010
- Published: 15 December 2010
We establish some new Fejér-type inequalities for convex functions.
- Convex Function
- Natural Consequence
- Integration Technique
- Integral Inequality
- Simple Integration
In , Dragomir established the following theorem which is a refinement of the first inequality of (1.1).
In , Yang and Hong established the following theorem which is a refinement of the second inequality in (1.1).
In , Fejér established the following weighted generalization of the Hermite-Hadamard inequality (1.1).
is known as Fejér inequality.
In order to prove our main results, we need the following lemma.
Lemma 2.1 (see ).
Now, we are ready to state and prove our results.
in Lemma 2.1.
The following Fejér-type inequality is a natural consequence of Theorems 2.2–2.9.
which is a refinement of (1.1).
This research was partially supported by Grant NSC 97-2115-M-156-002.
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