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  1. Content type: Research

    A Gupta-type variant of Shepard operators is introduced and convergence results and pointwise and uniform direct and converse approximation results are given. An application to image compression improving a pr...

    Authors: Umberto Amato and Biancamaria Della Vecchia

    Citation: Journal of Inequalities and Applications 2018 2018:232

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  2. Content type: Research

    We mainly study the M-estimation method for the high-dimensional linear regression model and discuss the properties of the M-estimator when the penalty term is a local linear approximation. In fact, the M-esti...

    Authors: Kai Wang and Yanling Zhu

    Citation: Journal of Inequalities and Applications 2018 2018:225

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  3. Content type: Research

    In this paper, we introduce the concept of comparable complete metric spaces and consider some fixed point theorems for mappings in the setting of incomplete metric spaces. We obtain the results of Ansari et a...

    Authors: Badr Alqahtani, Rahmatollah Lashkaripour, Erdal Karapınar and Javad Hamzehnejadi

    Citation: Journal of Inequalities and Applications 2018 2018:224

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  4. Content type: Research

    For arrays of rowwise pairwise negative quadrant dependent random variables, conditions are provided under which weighted averages converge in mean to 0 thereby extending a result of Chandra, and conditions ar...

    Authors: Tapas K. Chandra, Deli Li and Andrew Rosalsky

    Citation: Journal of Inequalities and Applications 2018 2018:221

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  5. Content type: Research

    The aim of this is to give generating functions for new families of special numbers and polynomials of higher order. By using these generating functions and their functional equations, we derive identities and...

    Authors: Yilmaz Simsek and Daeyeoul Kim

    Citation: Journal of Inequalities and Applications 2018 2018:220

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  6. Content type: Research

    In this paper, we have established appropriate duality relations for a general nonlinear optimization problem under fuzzy environment, taking exponential membership functions and using the aspiration level app...

    Authors: S. K. Gupta, D. Dangar, I. Ahmad and S. Al-Homidan

    Citation: Journal of Inequalities and Applications 2018 2018:218

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  7. Content type: Research

    Functional version for the so-called Furuta parametric relative operator entropy is here investigated. Some related functional inequalities are also discussed. The theoretical results obtained by our functiona...

    Authors: Mustapha Raïssouli and Shigeru Furuichi

    Citation: Journal of Inequalities and Applications 2018 2018:212

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  8. Content type: Research

    In this paper we investigate the upper bound and the lower bound of the Choquet integral for log-convex functions. Firstly, for a monotone log-convex function, we state the similar Hadamard inequality of the C...

    Authors: Hongxia Wang

    Citation: Journal of Inequalities and Applications 2018 2018:210

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  9. Content type: Research

    In this paper, we present two iterative algorithms for approximating a solution of the split feasibility problem on zeros of a sum of monotone operators and fixed points of a finite family of nonexpansive mapp...

    Authors: Narin Petrot, Montira Suwannaprapa and Vahid Dadashi

    Citation: Journal of Inequalities and Applications 2018 2018:205

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  10. Content type: Research

    In this paper, we study the exponential stability in the pth moment of mild solutions to neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion:

    Authors: Xinwen Zhang and Dehao Ruan

    Citation: Journal of Inequalities and Applications 2018 2018:201

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  11. Content type: Research

    In the present article, by utilizing some inequalities for linearly negative quadrant dependent random variables, we discuss the uniformly asymptotic normality of sample quantiles for linearly negative quadran...

    Authors: Xueping Hu, Rong Jiang, Keming Yu and Tong Zhang

    Citation: Journal of Inequalities and Applications 2018 2018:196

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  12. Content type: Research

    The paper is devoted to the study of oscillation of solutions to a class of second-order half-linear neutral differential equations with delayed arguments. New oscillation criteria are established, and they es...

    Authors: Said R. Grace, Jozef Džurina, Irena Jadlovská and Tongxing Li

    Citation: Journal of Inequalities and Applications 2018 2018:193

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  13. Content type: Research

    This work is devoted to discuss some spectral properties and the scattering function of the impulsive operator generated by the Sturm–Liouville equation. We present a different method to investigate the spectr...

    Authors: Elgiz Bairamov, Ibrahim Erdal and Seyhmus Yardimci

    Citation: Journal of Inequalities and Applications 2018 2018:191

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  14. Content type: Research

    This paper considers wavelet estimation for a multivariate density function based on mixing and size-biased data. We provide upper bounds for the mean integrated squared error (MISE) of wavelet estimators. It ...

    Authors: Junke Kou and Huijun Guo

    Citation: Journal of Inequalities and Applications 2018 2018:189

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  15. Content type: Research

    The least positive number γ such that a convex body K can be covered by m translates of γK is called the covering functional of K (with respect to m), and it is denoted by

    Authors: Senlin Wu and Ke Xu

    Citation: Journal of Inequalities and Applications 2018 2018:186

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  16. Content type: Research

    A new discrete Mulholland-type inequality in the whole plane with a best possible constant factor is presented by introducing multi-parameters, applying weight coefficients, and using Hermite–Hadamard’s inequa...

    Authors: Bicheng Yang and Qiang Chen

    Citation: Journal of Inequalities and Applications 2018 2018:184

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