Title of article
Jensen type inequalities for twice dierentiable functions
Author/Authors
El Frissi ، Abdallah - University of Mostaganem , Belaïdi ، Benharrat - University of Mostaganem , Lareuch ، Zinelaâbidine - University of Mostaganem
Pages
7
From page
350
To page
356
Abstract
Abstract In this paper, we give some Jensen-type inequalities for ϕ : I → R, I = [α, β] ⊂ R, where ϕ is a continuous function on I, twice differentiable on ˚I = (α, β) and there exists m = inf ϕ// (x) or M = supϕ// (x) . x ˚I x ˚I Furthermore, if ϕ// is bounded on ˚I, then we give an estimate, from below and from above of Jensen inequalities.Qc 2012 NGA. All rights reserved.
Keywords
Jensen inequality , Convex functions , Twice differentiable functions
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2012
Journal title
Journal of Nonlinear Science and Applications
Record number
2475375
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