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  1. Research

    On the Berry-Esséen bound of frequency polygons for ϕ-mixing samples

    Under some mild assumptions, the Berry-Esséen bound of frequency polygons for ϕ-mixing samples is presented. By the bound derived, we obtain the corresponding convergence rate of uniformly asymptotic normality, w...

    Gan-ji Huang and Guodong Xing

    Journal of Inequalities and Applications 2017 2017:65

    Published on: 23 March 2017

  2. Research

    Partial reciprocal sums of the Mathieu series

    It is well known that the Mathieu series has a wide application in mathematics science. In this paper, we use the elementary method and construct some new inequalities to study the computational problem of the...

    Xin Lin

    Journal of Inequalities and Applications 2017 2017:60

    Published on: 11 March 2017

  3. Research

    An eigenvalue localization set for tensors and its applications

    A new eigenvalue localization set for tensors is given and proved to be tighter than those presented by Li et al. (Linear Algebra Appl. 481:36-53, 2015) and Huang et al. (J. Inequal. Appl. 2016:254, 2016). As an ...

    Jianxing Zhao and Caili Sang

    Journal of Inequalities and Applications 2017 2017:59

    Published on: 9 March 2017

  4. Research

    Auxiliary principle technique and iterative algorithm for a perturbed system of generalized multi-valued mixed quasi-equilibrium-like problems

    In this article, we introduce a perturbed system of generalized mixed quasi-equilibrium-like problems involving multi-valued mappings in Hilbert spaces. To calculate the approximate solutions of the perturbed ...

    Mijanur Rahaman, Chin-Tzong Pang, Mohd. Ishtyak and Rais Ahmad

    Journal of Inequalities and Applications 2017 2017:56

    Published on: 4 March 2017

  5. Research

    Two explicit formulas for the generalized Motzkin numbers

    In the paper, by the Faà di Bruno formula, the authors establish two explicit formulas for the Motzkin numbers, the generalized Motzkin numbers, and the restricted hexagonal numbers.

    Jiao-Lian Zhao and Feng Qi

    Journal of Inequalities and Applications 2017 2017:44

    Published on: 15 February 2017

  6. Research

    Bonnesen-style Wulff isoperimetric inequality

    The Wulff isoperimetric inequality is a natural extension of the classical isoperimetric inequality (Green and Osher in Asian J. Math. 3:659-676 1999). In this paper, we establish some Bonnesen-style Wulff isoper...

    Zengle Zhang and Jiazu Zhou

    Journal of Inequalities and Applications 2017 2017:42

    Published on: 14 February 2017

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