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  1. Content type: Research

    Using the orthogonal rank of the tensor, a new estimation method for the upper bounds on the nuclear norms is presented and some new tight upper bounds on the nuclear norms are established. Taking into account...

    Authors: Xu Kong, Jicheng Li and Xiaolong Wang

    Citation: Journal of Inequalities and Applications 2018 2018:282

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  2. Content type: Research

    The mixed continuous-discrete density model plays an important role in reliability, finance, biostatistics, and economics. Using wavelets methods, Chesneau, Dewan, and Doosti provide upper bounds of wavelet es...

    Authors: Lin Hu, Xiaochen Zeng and Jinru Wang

    Citation: Journal of Inequalities and Applications 2018 2018:279

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  3. Content type: Research

    In this paper, we present four new Windschitl type approximation formulas for the gamma function. By some unique ideas and techniques, we prove that four functions combined with the gamma function and Windschi...

    Authors: Zhen-Hang Yang and Jing-Feng Tian

    Citation: Journal of Inequalities and Applications 2018 2018:272

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  4. Content type: Research

    In this paper analogues of Sobolev inequalities for compact and connected metric graphs are derived. As a consequence of these inequalities, a lower bound, commonly known as Cheeger inequality, on the first no...

    Authors: Muhammad Usman

    Citation: Journal of Inequalities and Applications 2018 2018:271

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  5. Content type: Research

    The Jacobian decomposition and the Gauss–Seidel decomposition of augmented Lagrangian method (ALM) are two popular methods for separable convex programming. However, their convergence is not guaranteed for thr...

    Authors: Min Sun and Yiju Wang

    Citation: Journal of Inequalities and Applications 2018 2018:269

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  6. Content type: Research

    In this paper, we prove that the squared norm of the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping func...

    Authors: Aliya Naaz Siddiqui, Mohammad Hasan Shahid and Jae Won Lee

    Citation: Journal of Inequalities and Applications 2018 2018:265

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  7. Content type: Research

    This paper investigates a nonstandard renewal counting process with dependent inter-arrival times-web renewal process. Several limit properties, including the tail of the exponential moment which is a crucial ...

    Authors: Rong Li, Xiuchun Bi and Shuguang Zhang

    Citation: Journal of Inequalities and Applications 2018 2018:260

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  8. Content type: Research

    For the extended linear complementarity problem (ELCP), by virtue of a new residual function, we establish a new type of global error bound under weaker conditions. Based on this, we respectively obtain new gl...

    Authors: Hongchun Sun, Min Sun and Yiju Wang

    Citation: Journal of Inequalities and Applications 2018 2018:258

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  9. Content type: Research

    In this paper, we investigate the existence of a positive periodic solution for the following fourth-order p-Laplacian generalized neutral differential equation with attractive and repulsive singularities:

    Authors: Yun Xin and Hongmin Liu

    Citation: Journal of Inequalities and Applications 2018 2018:259

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  10. Content type: Research

    In this paper, we investigate some inequalities for the Fan product of M-tensors. We propose exact characterizations of M-tensors and establish some inequalities on the minimum eigenvalue for the Fan product of t...

    Authors: Gang Wang, Yanan Wang and Yuan Zhang

    Citation: Journal of Inequalities and Applications 2018 2018:257

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  11. Content type: Research

    To be the best of our knowledge, the convergence theorem for the DC program and split DC program are proposed in finite-dimensional real Hilbert spaces or Euclidean spaces. In this paper, to study the split DC...

    Authors: Chih-Sheng Chuang and Pei-Jung Yang

    Citation: Journal of Inequalities and Applications 2018 2018:250

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  12. Content type: Research

    An inequality is being proved which is connected to cost-effective numerical density estimation of the hyper-gamma probability distribution. The left-hand side of the inequality is a combination of two in the ...

    Authors: Siegfried H. Lehnigk

    Citation: Journal of Inequalities and Applications 2018 2018:253

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  13. Content type: Research

    This manuscript deals with two general systems of nonlinear ordered variational inclusion problems. We also construct some new iterative algorithms for finding approximation solutions to the general systems of...

    Authors: Mohd. Sarfaraz, Kottakkaran Sooppy Nisar, Ahmed Morsy and Md. Kalimuddin Ahmad

    Citation: Journal of Inequalities and Applications 2018 2018:252

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  14. Content type: Research

    This paper is concerned with a class of quaternion-valued cellular neural networks with discrete and distributed delays. By using the exponential dichotomy of linear systems and a fixed point theorem, sufficie...

    Authors: Xiaofang Meng and Yongkun Li

    Citation: Journal of Inequalities and Applications 2018 2018:245

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  15. Content type: Research

    This paper investigates optimal investment and reinsurance policies for an insurance company under a correlated risk model with common Poisson shocks. The goal of the insurance company is to minimize the ultim...

    Authors: Lin Xu, Minghan Wang and Bin Zhang

    Citation: Journal of Inequalities and Applications 2018 2018:244

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  16. Content type: Research

    In this paper some new general fractional integral inequalities for convex and m-convex functions by involving an extended Mittag-Leffler function are presented. These results produce inequalities for several kin...

    Authors: G. Farid, K. A. Khan, N. Latif, A. U. Rehman and S. Mehmood

    Citation: Journal of Inequalities and Applications 2018 2018:243

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  17. Content type: Research

    By using a Lidstone interpolation, Green’s function and Montogomery’s identity, we prove a new generalization of Steffensen’s inequality. Some related inequalities providing generalizations of certain results ...

    Authors: Asfand Fahad, Josip Pečarić and Muhammad Imran Qureshi

    Citation: Journal of Inequalities and Applications 2018 2018:237

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  18. Content type: Research

    The purpose of this article is to propose a modified viscosity implicit-type proximal point algorithm for approximating a common solution of a monotone inclusion problem and a fixed point problem for an asympt...

    Authors: Shih-sen Chang, Jen-Chih Yao, Ching-Feng Wen and Lin Wang

    Citation: Journal of Inequalities and Applications 2018 2018:235

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  19. Content type: Research

    By using real analysis and weight functions, we obtain a few equivalent statements of a Hilbert-type integral inequality in the whole plane related to the kernel of exponent function with intermediate variable...

    Authors: Yanru Zhong, Meifa Huang and Bicheng Yang

    Citation: Journal of Inequalities and Applications 2018 2018:234

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