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  1. Content type: Research

    The object of the present paper is to investigate various conditions for Carathéodory functions in the open unit disk. Also we give some applications to univalent functions as special cases.

    Authors: In Hwa Kim, Young Jae Sim and Nak Eun Cho

    Citation: Journal of Inequalities and Applications 2019 2019:13

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  2. Content type: Research

    In this paper, we give another proof of the Orlicz–Lorentz centroid inequality which is obtained by Nguyen (Adv. Appl. Math. 92:99–121, 2018). We prove that a family of parallel chord movement under the Orlicz–Lo...

    Authors: Fangwei Chen and Congli Yang

    Citation: Journal of Inequalities and Applications 2019 2019:12

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  3. Content type: Research

    In this paper, we introduce a new algorithm with self-adaptive method for finding a solution of the variational inequality problem involving monotone operator and the fixed point problem of a quasi-nonexpansiv...

    Authors: Ming Tian and Mengying Tong

    Citation: Journal of Inequalities and Applications 2019 2019:7

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  4. Content type: Research

    The Changhee numbers and polynomials are introduced by Kim, Kim and Seo (Adv. Stud. Theor. Phys. 7(20):993–1003, 2013), and the generalizations of those polynomials are characterized. In this paper, we investigat...

    Authors: Yunjae Kim and Jin-Woo Park

    Citation: Journal of Inequalities and Applications 2019 2019:5

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  5. Content type: Research

    A semismooth Newton method, based on variational inequalities and generalized derivative, is designed and analysed for unilateral contact problem between two membranes. The problem is first formulated as a cor...

    Authors: Shougui Zhang, Yueyue Yan and Ruisheng Ran

    Citation: Journal of Inequalities and Applications 2019 2019:1

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  6. Content type: Research

    In this study, the family F and F-convex function are given with its properties. In view of this, we establish some new inequalities of Hermite–Hadamard type for differentiable function. Moreover, we establish so...

    Authors: Pshtiwan Othman Mohammed and Mehmet Zeki Sarikaya

    Citation: Journal of Inequalities and Applications 2018 2018:359

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  7. Content type: Research

    In this paper, we establish a new iterative algorithm by combining Nadezhkina and Takahashi’s modified extragradient method and Xu’s algorithm. The mentioned iterative algorithm presents the common solution of...

    Authors: Panisa Lohawech, Anchalee Kaewcharoen and Ali Farajzadeh

    Citation: Journal of Inequalities and Applications 2018 2018:358

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  8. Content type: Research

    The authors define a class of functions on Riemannian manifolds, which are called geodesic semilocal E-preinvex functions, as a generalization of geodesic semilocal E-convex and geodesic semi E-preinvex functi...

    Authors: Adem Kılıçman and Wedad Saleh

    Citation: Journal of Inequalities and Applications 2018 2018:353

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  9. Content type: Research

    While the Bedrosian identity for the Hilbert transform of a product does not hold for general Sobolev class functions, we show that the defect of this identity is more regular than would be naively expected. W...

    Authors: Marcel Oliver

    Citation: Journal of Inequalities and Applications 2018 2018:348

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  10. Content type: Research

    In this article we give q-analogs of the Opial inequality for q-decreasing functions. Using a closed form of the restricted q-integral (see Gauchman in Comput. Math. Appl. 47:281–300, 2004), we establish a new in...

    Authors: Tatjana Z. Mirković, Slobodan B. Tričković and Miomir S. Stanković

    Citation: Journal of Inequalities and Applications 2018 2018:347

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  11. Content type: Research

    In the present paper, we study a new kind of Kantorovich–Stancu type operators. For this modified form, we discuss a uniform convergence estimate. Some Voronovskaja-type theorems are given.

    Authors: Adonia-Augustina Opriş

    Citation: Journal of Inequalities and Applications 2018 2018:346

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  12. Content type: Research

    In this paper, we investigate the Bohr-type radii for several different forms of Bohr-type inequalities of analytic functions in the unit disk, we also investigate the Bohr-type radius of the alternating serie...

    Authors: Ming-Sheng Liu, Yin-Miao Shang and Jun-Feng Xu

    Citation: Journal of Inequalities and Applications 2018 2018:345

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  13. Content type: Research

    It has turned out that the tensor expansion model has better approximation to the objective function than models of the normal second Taylor expansion. This paper conducts a study of the tensor model for nonli...

    Authors: Songhua Wang and Shulun Liu

    Citation: Journal of Inequalities and Applications 2018 2018:343

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  14. Content type: Research

    There are almost no results in mathematical literature on the exponential stability of third-order delay differential equations. One of the main purposes of the paper is to fill this gap. We propose an approac...

    Authors: Alexander Domoshnitsky, Shirel Shemesh, Alexander Sitkin, Ester Yakovi and Roman Yavich

    Citation: Journal of Inequalities and Applications 2018 2018:341

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  15. Content type: Research

    Slowly varying systems are common in physics and control engineering and thus stability analysis for those systems has drawn considerable attention in the literature. This paper uses the “frozen time approach”...

    Authors: M. F. M. Naser, G. N. Gumah, S. K. Al-Omari and O. M. Bdair

    Citation: Journal of Inequalities and Applications 2018 2018:338

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  16. Content type: Research

    The main aim of this paper is to give an improvement of the recent result on the sharpness of the Jensen inequality. The results given here are obtained using different Green functions and considering the case...

    Authors: Ðilda Pečarić, Josip Pečarić and Mirna Rodić

    Citation: Journal of Inequalities and Applications 2018 2018:337

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  17. Content type: Research

    This paper puts forward the basic form of stochastic Gronwall’s inequality and uses, respectively, the iterative method, the integral method and the martingale representation method to prove it. Then it presen...

    Authors: Xin Wang and Shengjun Fan

    Citation: Journal of Inequalities and Applications 2018 2018:336

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  18. 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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  19. 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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  20. 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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  21. 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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