2010
DOI: 10.1155/2010/531976
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Fejér-Type Inequalities (I)

Abstract: We establish some new Fejér-type inequalities for convex functions.

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Cited by 55 publications
(30 citation statements)
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“…In [11], Tseng et al established the following Hermite-Hadamard-type inequality which re…nes the …rst inequality of (1:1). Using the similar proof of Theorem A, we also note that the inequalities in (1:2) are reversed when f is concave on [a; b] :…”
Section: Throughout In This Paper Let a < B In Rmentioning
confidence: 99%
“…In [11], Tseng et al established the following Hermite-Hadamard-type inequality which re…nes the …rst inequality of (1:1). Using the similar proof of Theorem A, we also note that the inequalities in (1:2) are reversed when f is concave on [a; b] :…”
Section: Throughout In This Paper Let a < B In Rmentioning
confidence: 99%
“…In [11], Tseng, Hwang and Dragomir established the following theorems related to Fejér-type inequalities.…”
Section: Introductionmentioning
confidence: 99%
“…see [2,3,4,6,10,11,12,13,14,15,16,17] and the references therein. A modification for convex functions, which are also known as co-ordinated convex functions, was introduced by Dragomir in [4] (see also [2]) as follows: A function f : ∆ → R is said to be convex on the co-ordinates on ∆ if the partial mappings…”
Section: Introductionmentioning
confidence: 99%