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  1. Content type: Research

    Let G be a graph with n vertices and m edges. The term energy of a graph G was introduced by I. Gutman in chemistry due to its relevance to the total π-electron energy of a carbon compound. An analogous energy

    Authors: G. Sridhara, M. R. Rajesh Kanna, R. Pradeep Kumar and D. Soner Nandappa

    Citation: Journal of Inequalities and Applications 2018 2018:334

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  2. Content type: Research

    We investigate a weighted Simpson-type identity and obtain new estimation-type results related to the weighted Simpson-like type inequality for the first-order differentiable mappings. We also present some app...

    Authors: Chun-Yan Luo, Ting-Song Du, Mehmet Kunt and Yao Zhang

    Citation: Journal of Inequalities and Applications 2018 2018:332

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  3. Content type: Research

    Parameter estimation in multivariate analysis is important, particularly when parameter space is restricted. Among different methods, the shrinkage estimation is of interest. In this article we consider the pr...

    Authors: Hamid Karamikabir, Mahmoud Afshari and Mohammad Arashi

    Citation: Journal of Inequalities and Applications 2018 2018:331

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  4. Content type: Review

    In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone and Lip...

    Authors: Tadchai Yuying, Bui Van Dinh, Do Sang Kim and Somyot Plubtieng

    Citation: Journal of Inequalities and Applications 2018 2018:327

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  5. Content type: Research

    In this investigation, some sufficient and necessary conditions of the complete convergence for weighted sums of asymptotically negatively associated (ANA, in short) random variables are presented without the ...

    Authors: Haiwu Huang, Qingxia Zhang and Xiongtao Wu

    Citation: Journal of Inequalities and Applications 2018 2018:324

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  6. Content type: Research

    The main purpose of this present article is to discuss the convergence of Lebesgue measurable functions by providing a Dunkl generalization of Szász type operators known as Phillips operators. To achieve the r...

    Authors: M. Nasiruzzaman and Nadeem Rao

    Citation: Journal of Inequalities and Applications 2018 2018:323

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  7. Content type: Research

    Symplectic exponentially fitted RK and RKN methods have been extensively studied by many researchers. Due to their good property, they have been applied to many problems such as pendulum, Morse oscillator, har...

    Authors: Bing Zhen Chen and Wen Juan Zhai

    Citation: Journal of Inequalities and Applications 2018 2018:321

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  8. Content type: Research

    In this article, we first develop a semi-discretized Crank–Nicolson format about time for the two-dimensional non-stationary Stokes equations about vorticity–stream functions and analyze the existence, uniquen...

    Authors: Yanjie Zhou, Zhendong Luo and Fei Teng

    Citation: Journal of Inequalities and Applications 2018 2018:320

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  9. Content type: Research

    In this paper, we consider a two-dimensional nonstandard renewal risk model with stochastic returns, in which the two lines of claim sizes form a sequence of independent and identically distributed random vect...

    Authors: Yinghua Dong and Dingcheng Wang

    Citation: Journal of Inequalities and Applications 2018 2018:319

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  10. Content type: Research

    Jensen’s inequality is important for obtaining inequalities for divergence between probability distribution. By applying a refinement of Jensen’s inequality (Horváth et al. in Math. Inequal. Appl. 14:777–791, 201...

    Authors: Khuram Ali Khan, Tasadduq Niaz, Ðilda Pec̆arić and Josip Pec̆arić

    Citation: Journal of Inequalities and Applications 2018 2018:318

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  11. Content type: Research

    In this paper, we study the valuation of swing options on electricity markets with local volume and refraction time constraints, under the setting that the dynamic of the underlying spot price is a 2-state reg...

    Authors: Lingjie Shao, Kaili Xiang and Yang Song

    Citation: Journal of Inequalities and Applications 2018 2018:317

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  12. Content type: Research

    In this paper, we introduce two general iterative methods (one implicit method and one explicit method) for finding a solution of a general system of variational inequalities (GSVI) with the constraints of fin...

    Authors: Qian-Wen Wang, Jin-Lin Guan, Lu-Chuan Ceng and Bing Hu

    Citation: Journal of Inequalities and Applications 2018 2018:315

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  13. Content type: Research

    This paper studies the problem of robust stability for uncertain neutral systems with distributed delay. By utilizing the incorporation of a new integral inequality technique and a novel Lyapunov–Krasovskii fu...

    Authors: Tao Wu, Lianglin Xiong, Jinde Cao and Xinzhi Liu

    Citation: Journal of Inequalities and Applications 2018 2018:314

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  14. Content type: Research

    In this paper, inspired by Jitsupa et al. (J. Comput. Appl. Math. 318:293–306, 2017), we propose a general iterative scheme for finding a solution of a split monotone variational inclusion with the constraints of...

    Authors: Jin-Lin Guan, Lu-Chuan Ceng and Bing Hu

    Citation: Journal of Inequalities and Applications 2018 2018:311

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  15. Content type: Research

    New Hermite–Hadamard type inequalities are established. Some corresponding examples are also discussed in detail.

    Authors: Marcela V. Mihai, Muhammad Uzair Awan, Muhammad Aslam Noor, Jong Kyu Kim and Khalida Inayat Noor

    Citation: Journal of Inequalities and Applications 2018 2018:309

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  16. Content type: Research

    This paper presents new weighted Hermite–Hadamard type inequalities for a new class of convex functions which are known as geometrically quasi-convex functions. Some applications of these results to special me...

    Authors: Sofian Obeidat and Muhammad Amer Latif

    Citation: Journal of Inequalities and Applications 2018 2018:307

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  17. Content type: Research

    The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensen–S...

    Authors: M. Klaričić Bakula

    Citation: Journal of Inequalities and Applications 2018 2018:306

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  18. Content type: Research

    In this paper, we introduce the h-convex concept for interval-valued functions. By using the h-convex concept, we present new Jensen and Hermite–Hadamard type inequalities for interval-valued functions. Our inequ...

    Authors: Dafang Zhao, Tianqing An, Guoju Ye and Wei Liu

    Citation: Journal of Inequalities and Applications 2018 2018:302

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  19. Content type: Research

    In this paper, in order to study the dissipativity of nonlinear neutral functional differential equations, a generalization of the Halanay inequality is given. We apply this generalized Halanay inequality to a...

    Authors: Haiyang Wen, Shi Shu and Liping Wen

    Citation: Journal of Inequalities and Applications 2018 2018:300

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  20. Content type: Research

    In this paper, firstly, a new property of the cone subpreinvex set-valued map involving the generalized contingent epiderivative is obtained. As an application of this property, a sufficient optimality conditi...

    Authors: Wang Chen and Zhiang Zhou

    Citation: Journal of Inequalities and Applications 2018 2018:299

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  21. Content type: Research

    The stability for a class of generalized Minty variational-hemivariational inequalities has been considered in reflexive Banach spaces. We demonstrate the equivalent characterizations of the generalized Minty ...

    Authors: Lu-Chuan Ceng, Ravi P. Agarwal, Jen-Chih Yao and Yonghong Yao

    Citation: Journal of Inequalities and Applications 2018 2018:298

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    The Retraction Note to this article has been published in Journal of Inequalities and Applications 2019 2019:95

  22. 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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  23. 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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  24. 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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  25. 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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  26. 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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  27. 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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