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  1. 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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  2. 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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  3. 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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  4. 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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  5. 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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  6. 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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  7. 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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  8. 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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  9. Content type: Research

    By utilizing the concept of generalized order, we investigate the growth of Laplace–Stieltjes transform converging in the half plane and obtain one equivalence theorem concerning the generalized order of Lapla...

    Authors: Hong Yan Xu and Hua Wang

    Citation: Journal of Inequalities and Applications 2018 2018:185

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  10. 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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  11. 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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  12. Content type: Research

    In this paper, we generalize some Schatten p-norm inequalities for accretive-dissipative matrices obtained by Kittaneh and Sakkijha. Moreover, we present some inequalities for sector matrices.

    Authors: Chaojun Yang and Fangyan Lu

    Citation: Journal of Inequalities and Applications 2018 2018:183

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  13. Content type: Research

    In this paper, we prove one inequality with power functions. A simplified form of the inequality was published as the problem 12024-02 in the American Mathematical Monthly.

    Authors: Ladislav Matejíčka

    Citation: Journal of Inequalities and Applications 2018 2018:182

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  14. Content type: Research

    A compact finite difference (CFD) scheme is presented for the nonlinear Schrödinger equation involving a quintic term. The two discrete conservative laws are obtained. The unconditional stability and convergen...

    Authors: Hanqing Hu and Hanzhang Hu

    Citation: Journal of Inequalities and Applications 2018 2018:180

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  15. Content type: Research

    Some relaxed hybrid iterative schemes for approximating a common element of the sets of zeros of infinite maximal monotone operators and the sets of fixed points of infinite weakly relatively non-expansive map...

    Authors: Li Wei and Ravi P. Agarwal

    Citation: Journal of Inequalities and Applications 2018 2018:179

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  16. Content type: Research

    In this paper, we deal with the problem of finding the best possible bounds for the first Seiffert mean in terms of the geometric combination of logarithmic and the Neuman–Sándor means, and in terms of the geo...

    Authors: Boyong Long, Ling Xu and Qihan Wang

    Citation: Journal of Inequalities and Applications 2018 2018:174

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  17. Content type: Research

    In this paper, we will show some improvements of Heron mean and the refinements of Young’s inequalities for operators and matrices with a different method based on others’ results.

    Authors: Changsen Yang and Yonghui Ren

    Citation: Journal of Inequalities and Applications 2018 2018:172

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  18. Content type: Research

    In this paper, we construct an iterative method by a generalized viscosity explicit rule for a countable family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space. We prove strong conver...

    Authors: Wongvisarut Khuangsatung and Pongsakorn Sunthrayuth

    Citation: Journal of Inequalities and Applications 2018 2018:167

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  19. Content type: Research

    In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents. To obtain the estim...

    Authors: Jingshi Xu and Jinlai Zhu

    Citation: Journal of Inequalities and Applications 2018 2018:169

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  20. Content type: Research

    In this paper, we present some identities relating the hyperharmonic, the Daehee and the derangement numbers, and we derive some nonlinear differential equations from the generating function of a hyperharmonic...

    Authors: Seog-Hoon Rim, Taekyun Kim and Sung-Soo Pyo

    Citation: Journal of Inequalities and Applications 2018 2018:168

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