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  1. Content type: Research

    In this paper, we present a sharp Shafer-type inequality for the inverse tangent function. Based on the Padé approximation method, we give approximations to the inverse tangent function. Based on the obtained ...

    Authors: Quan-Xi Qiao and Chao-Ping Chen

    Citation: Journal of Inequalities and Applications 2018 2018:141

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  2. Content type: Research

    A new class of quasiconvexity called strongly η-quasiconvex function was introduced in (Awan et al. in Filomat 31(18):5783–5790, 2017). In this paper, we obtain some new k-Riemann–Liouville fractional integral in...

    Authors: Eze R. Nwaeze, Seth Kermausuor and Ana M. Tameru

    Citation: Journal of Inequalities and Applications 2018 2018:139

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  3. Content type: Research

    In the paper, the authors present some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function via some classical inequalities such as Chebychev’s inequality for sync...

    Authors: Kottakkaran Sooppy Nisar, Feng Qi, Gauhar Rahman, Shahid Mubeen and Muhammad Arshad

    Citation: Journal of Inequalities and Applications 2018 2018:135

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  4. Content type: Research

    In this paper, we investigate the spectral approximation of optimal control problem governed by nonlinear parabolic equations. A spectral approximation scheme for the nonlinear parabolic optimal control proble...

    Authors: Lin Li, Zuliang Lu, Wei Zhang, Fei Huang and Yin Yang

    Citation: Journal of Inequalities and Applications 2018 2018:138

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  5. Content type: Research

    In this paper, using continued fraction, we provide a new quicker sequence convergent to Euler’s constant. We demonstrate the superiority of our new convergent sequences over DeTemple’s sequence, Mortici’s seq...

    Authors: Li-Jiang Jia, Bin Ge, Li-Li Liu and Yi Ran

    Citation: Journal of Inequalities and Applications 2018 2018:136

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  6. Content type: Research

    This article mainly studies the boundary value problems for hypergenic function vectors in Clifford analysis. Firstly, some properties of hypergenic quasi-Cauchy type integrals are discussed. Then, by the Scha...

    Authors: Guiling Zhang, Chong Li and Yonghong Xie

    Citation: Journal of Inequalities and Applications 2018 2018:132

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  7. Content type: Research

    In this paper, our aim is to ascertain the distance between two sets iteratively in two simultaneous ways with the help of a multivalued coupling define for this purpose. We define the best proximity points of...

    Authors: Binayak S. Choudhury, Pranati Maity, Nikhilesh Metiya and Mihai Postolache

    Citation: Journal of Inequalities and Applications 2018 2018:130

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  8. Content type: Research

    The purpose of this paper is to propose a modified proximal point algorithm for solving minimization problems in Hadamard spaces. We then prove that the sequence generated by the algorithm converges strongly (...

    Authors: Shih-sen Chang, Lin Wang, Ching-Feng Wen and Jian Qiang Zhang

    Citation: Journal of Inequalities and Applications 2018 2018:124

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  9. Content type: Research

    In this paper, we introduce a new problem, the modified split generalized equilibrium problem, which extends the generalized equilibrium problem, the split equilibrium problem and the split variational inequal...

    Authors: Kanyarat Cheawchan and Atid Kangtunyakarn

    Citation: Journal of Inequalities and Applications 2018 2018:122

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  10. Content type: Research

    In this paper we prove the Hadamard and the Fejér–Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function. The extended genera...

    Authors: Shin Min Kang, Ghulam Farid, Waqas Nazeer and Bushra Tariq

    Citation: Journal of Inequalities and Applications 2018 2018:119

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  11. Content type: Research

    We provide several sharp upper and lower bounds for the generalized Euler–Mascheroni constant. As consequences, some previous bounds for the Euler–Mascheroni constant are improved.

    Authors: Ti-Ren Huang, Bo-Wen Han, Xiao-Yan Ma and Yu-Ming Chu

    Citation: Journal of Inequalities and Applications 2018 2018:118

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  12. Content type: Research

    We present a variant of the classical integration by parts to introduce a new type of Taylor series expansion and to present some closed forms for integrals involving Jacobi and Laguerre polynomials, which can...

    Authors: Mohammad Masjed-Jamei, Zahra Moalemi, Iván Area and Juan J. Nieto

    Citation: Journal of Inequalities and Applications 2018 2018:116

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  13. Content type: Research

    In this paper, we first introduce the definition of triple Diamond-Alpha integral for functions of three variables. Therefore, we present the Hölder and reverse Hölder inequalities for the triple Diamond-Alpha...

    Authors: Jing-Feng Tian

    Citation: Journal of Inequalities and Applications 2018 2018:111

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  14. Content type: Research

    This paper focuses on a class of nonlinear optimization subject to linear inequality constraints with unavailable-derivative objective functions. We propose a derivative-free trust-region methods with interior...

    Authors: Jing Gao and Jian Cao

    Citation: Journal of Inequalities and Applications 2018 2018:108

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  15. Content type: Research

    Based on the extreme value conditions of a multiple variables function, a new class of Wirtinger-type double integral inequality is established in this paper. The proposed inequality generalizes and refines th...

    Authors: Liansheng Zhang and Shuxia Wang

    Citation: Journal of Inequalities and Applications 2018 2018:109

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  16. Content type: Research

    The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre http://static-content.springer.com/image/art%3A10.1186%2Fs13660-018-1693-z/13660_2018_1693_Article_IEq1.gif ...

    Authors: Syed Abdul Mohiuddine, Tuncer Acar and Mohammed A. Alghamdi

    Citation: Journal of Inequalities and Applications 2018 2018:104

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  17. Content type: Research

    We investigate the efficiency of Chebyshev Thresholding Greedy Algorithm (CTGA) for an n-term approximation with respect to general bases in a Banach space. We show that the convergence property of CTGA is better...

    Authors: Chunfang Shao and Peixin Ye

    Citation: Journal of Inequalities and Applications 2018 2018:102

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  18. Content type: Research

    In this paper, we propose an alternating linearization bundle method for minimizing the sum of a nonconvex function and a convex function, both of which are not necessarily differentiable. The nonconvex functi...

    Authors: Chunming Tang, Jinman Lv and Jinbao Jian

    Citation: Journal of Inequalities and Applications 2018 2018:101

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  19. Content type: Research

    By using new Schrödinger type inequalities appearing in Jiang and Usó (J. Inequal. Appl. 2016:233, 2016), we study the existence of weak solutions of stochastic delay differential systems with Schrödinger–Brownia...

    Authors: Jianguo Sun, Liang Kou, Gang Guo, Guodong Zhao and Yong Wang

    Citation: Journal of Inequalities and Applications 2018 2018:100

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  20. Content type: Research

    In this paper we give extensions of Sherman’s inequality considering the class of convex functions of higher order. As particular cases, we get an extended weighted majorization inequality as well as Jensen’s ...

    Authors: S. Ivelić Bradanović, N. Latif, Ð. Pečarić and J. Pečarić

    Citation: Journal of Inequalities and Applications 2018 2018:98

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  21. Content type: Research

    In this article, we show two fundamental features of the restriction of Möbius operations to the real numbers, that is, a Cauchy type inequality and a criterion for convergence of series.

    Authors: Keiichi Watanabe

    Citation: Journal of Inequalities and Applications 2018 2018:97

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  22. Content type: Research

    In this paper, the errors of the two inequalities in Theorem 3.4.20 in the classic “Analytic Inequalities” by Mitrinovic are corrected, and the corresponding inequalities for circular functions and hyperbolic ...

    Authors: Ling Zhu

    Citation: Journal of Inequalities and Applications 2018 2018:94

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  23. Content type: Research

    We extend the results of Xh. Z. Krasniqi (Acta Comment. Univ. Tartu Math. 17:89–101, 2013) and the authors (Acta Comment. Univ. Tartu Math. 13:11–24, 2009; Proc. Est. Acad. Sci. 67:50–60, 2018) to the case when c...

    Authors: Mateusz Kubiak, Włodzimierz Łenski and Bogdan Szal

    Citation: Journal of Inequalities and Applications 2018 2018:92

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