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  1. Research

    M-test in linear models with negatively superadditive dependent errors

    This paper is concerned with the testing hypotheses of regression parameters in linear models in which errors are negatively superadditive dependent (NSD). A robust M-test base on M-criterion is proposed. The ...

    Yuncai Yu, Hongchang Hu, Ling Liu and Shouyou Huang

    Journal of Inequalities and Applications 2017 2017:235

    Published on: 22 September 2017

  2. Research

    Fibonacci statistical convergence and Korovkin type approximation theorems

    The purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined. Second, we p...

    Murat Kirişci and Ali Karaisa

    Journal of Inequalities and Applications 2017 2017:229

    Published on: 19 September 2017

  3. Research

    Modified forward-backward splitting midpoint method with superposition perturbations for the sum of two kinds of infinite accretive mappings and its applications

    In a real uniformly convex and p-uniformly smooth Banach space, a modified forward-backward splitting iterative algorithm is presented, where the computational errors and the superposition of perturbed operators ...

    Li Wei, Liling Duan, Ravi P Agarwal, Rui Chen and Yaqin Zheng

    Journal of Inequalities and Applications 2017 2017:227

    Published on: 18 September 2017

  4. Research

    Series of sums of products of higher-order Bernoulli functions

    It is shown in a previous work that Faber-Pandharipande-Zagier’s and Miki’s identities can be derived from a polynomial identity, which in turn follows from the Fourier series expansion of sums of products of ...

    Taekyun Kim, Dae San Kim, Gwan-Woo Jang and Jongkyum Kwon

    Journal of Inequalities and Applications 2017 2017:221

    Published on: 13 September 2017

  5. Research

    Optimal model for 4-band biorthogonal wavelets bases for fast calculation

    A class of 4-band symmetric biorthogonal wavelet bases has been constructed, in which any wavelet system the high-pass filters can be determined by exchanging position and changing the sign of the two low-pass...

    Qingyun Zou and Guoqiu Wang

    Journal of Inequalities and Applications 2017 2017:222

    Published on: 13 September 2017

  6. Research

    Hölder norm estimate for the fractal Hilbert transform in Douglis analysis

    The main goal of this paper is to estimate the Hölder norm of a fractal version of the Hilbert transform in the Douglis analysis context acting from Hölder spaces of Douglis algebra valued functions defined on h-...

    Yudier Peña Pérez, Martín P Árciga Alejandre, Ricardo Abreu Blaya and Juan Bory Reyes

    Journal of Inequalities and Applications 2017 2017:213

    Published on: 8 September 2017

  7. Research

    Area distortion under certain classes of quasiconformal mappings

    In this paper we study the hyperbolic and Euclidean area distortion of measurable sets under some classes of K-quasiconformal mappings from the upper half-plane and the unit disk onto themselves, respectively.

    Alfonso Hernández-Montes and Lino F Reséndis O

    Journal of Inequalities and Applications 2017 2017:211

    Published on: 8 September 2017

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