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Mathematics (Theoretical)

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  1. In this paper we present some inequalities of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex. Moreover, an application to special means of real numbers is also cons...

    Authors: Shan-He Wu, Banyat Sroysang, Jin-Shan Xie and Yu-Ming Chu
    Citation: SpringerPlus 2015 4:831
  2. For any fixed power exponent, it is shown that the first digits of powerful integer powers follow a generalized Benford law (GBL) with size-dependent exponent that converges asymptotically to a GBL with the in...

    Authors: Werner Hürlimann
    Citation: SpringerPlus 2015 4:576
  3. Let M be a 2‐torsion free prime Γ‐ring satisfying the condition a α b β c=a β b α c,∀a,b,cM and α,β∈Γ, U be an admissible Lie ideal of M and F=(f i )iN be a generalized higher ...

    Authors: Md Mizanor Rahman and Akhil Chandra Paul
    Citation: SpringerPlus 2014 3:100