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Parcourir par sujet "Twice differentiable functions"

Parcourir par sujet "Twice differentiable functions"

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  • Hadamard-type inequalities for twice differentiable functions 
    Belaïdi, Benharrat; El Farissi, Abdallah; Latreuch, Zinelaâbidine (RGMIA Reseaech Report collection, 2009)
    In this paper we give an estimate, from below and from above, of the mean value of the function f : [a, b] → R such that f is continuous on [a, b] and twice differentiable on (a, b).
  • Jensen type inequalities for twice differentiable functions 
    Belaıdi, Benharrat; El Frissi, Abdallah; Lareuch, Zinelaâbidine (J. Nonlinear Sci. Appl, 2012-01-01)
    In this paper, we give some Jensen-type inequalities forφ:I→R, I= [α,β]⊂R,whereφis a continuousfunction onI,twice differentiable on ̊I= (α,β) and there existsm= infx∈ ̊Iφ′′(x) orM= supx∈ ̊Iφ′′(x).Furthermore, ...

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