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  1. 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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  2. 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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  3. 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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  4. 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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  5. 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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  6. 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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  7. 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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  8. 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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  9. 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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  10. 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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  11. 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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  12. 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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  13. 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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  14. 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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  15. 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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  16. Content type: Research

    In this paper, we give some reverse-types of Ando’s and Hölder–McCarthy’s inequalities for positive linear maps, and positive invertible operators. For this purpose, we use a recently improved Young inequality...

    Authors: Monire Hajmohamadi, Rahmatollah Lashkaripour and Mojtaba Bakherad

    Citation: Journal of Inequalities and Applications 2018 2018:164

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  17. Content type: Research

    In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite–Hadamard type inequalities by using Green’s function and Jensen’s inequality, a...

    Authors: Muhammad Adil Khan, Arshad Iqbal, Muhammad Suleman and Yu-Ming Chu

    Citation: Journal of Inequalities and Applications 2018 2018:161

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  18. Content type: Research

    The main purpose of this paper is applying the analysis method, the properties of Lucas polynomials and Gauss sums to study the estimation problems of some kind hybrid character sums. In the end, we obtain sev...

    Authors: Jianhong Zhao and Xiao Wang

    Citation: Journal of Inequalities and Applications 2018 2018:160

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  19. Content type: Research

    In this paper, we investigate the existence of common fixed points of a certain mapping in the frame of an extended b-metric space. The given results cover a number of well-known fixed point theorems in the li...

    Authors: Badr Alqahtani, Andreea Fulga and Erdal Karapınar

    Citation: Journal of Inequalities and Applications 2018 2018:158

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  20. Content type: Research

    In this paper, we provide a new quicker sequence convergent to the Euler–Mascheroni constant using an approximation of Padé type. Our sequence has a relatively simple form and higher speed of convergence. More...

    Authors: Shanhe Wu and Gabriel Bercu

    Citation: Journal of Inequalities and Applications 2018 2018:151

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  21. Content type: Research

    In this paper, we prove some exponential inequalities involving the sinc function. We analyze and prove inequalities with constant exponents and inequalities with certain polynomial exponents. Also, we establi...

    Authors: Marija Rašajski, Tatjana Lutovac and Branko Malešević

    Citation: Journal of Inequalities and Applications 2018 2018:150

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  22. Content type: Research

    We present a realization for some K-functionals associated with Jacobi expansions in terms of generalized Jacobi–Weierstrass operators. Fractional powers of the operators as well as results concerning simultaneou...

    Authors: José A. Adell, Jorge Bustamante, Juan J. Merino and José M. Quesada

    Citation: Journal of Inequalities and Applications 2018 2018:153

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  23. Content type: Research

    In this paper, we consider sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials and derive Fourier series expansions of functions associated with them. From these Fo...

    Authors: Taekyun Kim, Dae San Kim, Dmitry V. Dolgy and Jin-Woo Park

    Citation: Journal of Inequalities and Applications 2018 2018:148

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  24. Content type: Research

    A two-point Padé approximant method is presented for refining some remarkable trigonometric inequalities including the Jordan inequality, Kober inequality, Becker–Stark inequality, and Wu–Srivastava inequality...

    Authors: Zhen Zhang, Huaqing Shan and Ligeng Chen

    Citation: Journal of Inequalities and Applications 2018 2018:149

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