Dépôt DSpace/Manakin

Parcourir Publications scientifiques par sujet "Convex functions"

Parcourir Publications scientifiques par sujet "Convex functions"

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  • 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).
  • 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, ...
  • Belaidi, Benharrat; Latreuch, Zinelaâbidine (tech. rep, 2011)
    In this paper, we will show some new inequalities for convex functions, and we will also make a connection between them and Chebyshev's inequality, which implies the existence of new class of functions satisfying Chebyshev's ...
  • Belaıdi, Benharrat; Latreuch, Zinelâabidine (Acta Universitatis Apulensis, 2013)
    In this paper, we will show some new inequalities for convex functions, and we will also make a connection between them and Chebyshev’s inequality, which implies the existence of new class of functions satisfying Chebyshev’s ...
  • Belaidi, Benharrat; El Farissi, Abdallah; Dahmani, Zoubir (Int. J. Open Problems Comput. Math, 2012-09-01)
    In this paper, we give new extensions of the classical Hermite-Hadamard and Fejer integral inequalities. Some applications of these extensions are also presented.

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