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  1. Content type: Research

    This work mainly studies the robust stability analysis and design of a controller for uncertain neutral stochastic nonlinear systems with time-delay. Using a modified Lyapunov–Krasovskii functional and the fre...

    Authors: Tengyu Ma and Longsuo Li

    Citation: Journal of Inequalities and Applications 2018 2018:293

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  2. Content type: Research

    This paper deals with a generalized nonlinear weakly singular retarded Wendroff-type integral inequality with maxima of an unknown function of two variables. The key is that a technique of monotonization witho...

    Authors: Yong Yan, Derong Zhou and Jianglin Zhao

    Citation: Journal of Inequalities and Applications 2018 2018:294

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  3. Content type: Research

    This paper presents a general strong limit theorem for delayed sum of functions of random variables for a hidden time inhomogeneous Markov chain (HTIMC), and as corollaries, some strong laws of large numbers f...

    Authors: Yun Dong, Fang-qing Ding and Qi-feng Yao

    Citation: Journal of Inequalities and Applications 2018 2018:292

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  4. Content type: Research

    In this paper we consider a class of split feasibility problem by focusing on the solution sets of two important problems in the setting of Hilbert spaces. One of them is the set of zero points of the sum of t...

    Authors: Jinhua Zhu, Jinfang Tang and Shih-sen Chang

    Citation: Journal of Inequalities and Applications 2018 2018:289

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  5. Content type: Research

    Error bounds play an important role in the research of mathematical programming. Using some techniques of nonsmooth analysis, we establish some results on the existence of higher-order error bounds for differe...

    Authors: Hui Huang and Mengxue Xia

    Citation: Journal of Inequalities and Applications 2018 2018:290

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  6. Content type: Research

    In this paper some Bellman–Steffensen type inequalities are generalized for positive measures. Using sublinearity of a class of convex functions and Jensen’s inequality, nonnormalized versions of Steffensen’s ...

    Authors: Julije Jakšetić, Josip Pečarić and Ksenija Smoljak Kalamir

    Citation: Journal of Inequalities and Applications 2018 2018:288

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  7. Content type: Research

    In this paper we study seminormed double sequence spaces of a four-dimensional matrix and Musielak–Orlicz function over n-normed spaces. We explore some interesting inclusion relations, algebraic and topological ...

    Authors: Renu Anand, Charu Sharma and Kuldip Raj

    Citation: Journal of Inequalities and Applications 2018 2018:285

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  8. 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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  9. 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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  10. 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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  11. 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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  12. 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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  13. 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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  14. 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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  15. 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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  16. 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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  17. 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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  18. 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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  19. 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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  20. 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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