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In this paper we establish a generalization of the right Fejer´
inequality for general Lebesgue integral on measurable spaces as well as
a positive lower bound and some upper bounds for the difference
h (a) + h (b)
2
−
1
R b
a
g (x) dx
Z b
a
h (x) g (x) dx,
where h : [a, b] → R is a convex function and g : [a, b] → [0, ∞) is an
integrable weight. Applications for discrete means are also provided.
Silvestru Sever Dragomir. (2017) Generalization, Refinement and Reverses of the Right Fejer Inequality for ´ Convex Functions, Punjab University Journal of Mathematics, Volume 49, Issue 3.
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