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  1. Content type: Research

    In this paper, we present some new extensions of Hölder’s inequality and give a condition under which the equality holds. We also show that many existing inequalities related to the Hölder inequality are parti...

    Authors: Fei Yan and Qin Gao

    Citation: Journal of Inequalities and Applications 2019 2019:97

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  2. Content type: Retraction Note

    The authors have retracted this article [1] because it significantly overlaps with the previously published article by Zhong and Huang [2]. All authors agree to this retraction.

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

    Citation: Journal of Inequalities and Applications 2019 2019:95

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    The original article was published in Journal of Inequalities and Applications 2018 2018:298

  3. Content type: Research

    In this paper, we obtain some new inequalities which reveal the further relationship between the inverse tangent function arctanx and the inverse hyperbolic sine function sinh−1x. At the same time, we give the an...

    Authors: Ling Zhu and Branko Malešević

    Citation: Journal of Inequalities and Applications 2019 2019:93

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  4. Content type: Research

    In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several Hermite–Hadamard type inequalities for exponentially p-conve...

    Authors: Naila Mehreen and Matloob Anwar

    Citation: Journal of Inequalities and Applications 2019 2019:92

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  5. Content type: Research

    In this paper, the authors introduce a new subclass of meromorphic q-starlike functions which are associated with the Janowski functions. A characterization of meromorphically q-starlike functions associated with...

    Authors: Shahid Mahmood, Qazi Zahoor Ahmad, H. M. Srivastava, Nazar Khan, Bilal Khan and Muhammad Tahir

    Citation: Journal of Inequalities and Applications 2019 2019:88

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  6. Content type: Research

    We investigate the isoperimetric deficit of the oval domain in the Euclidean plane. Via the kinematic formulae of Poincaré and Blaschke, and Blaschke’s rolling theorem, we obtain a sharp reverse Bonnesen-style...

    Authors: Pengfu Wang

    Citation: Journal of Inequalities and Applications 2019 2019:87

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  7. Content type: Research

    n-widths in approximation theory characterize how well one can approximate a subset by some “good” subsets of a normed linear space. Especially, n-widths of sets of http://static-content.springer.com/image/art%3A10.1186%2Fs13660-019-2041-7/13660_2019_2041_Article_IEq1.gif ...

    Authors: Yong J. Han, Liu Liang and Guang G. Chen

    Citation: Journal of Inequalities and Applications 2019 2019:86

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  8. Content type: Research

    The positive definiteness of rectangular tensors has wide applications in solid mechanics and quantum physics. By modifying the existing definition of singular value for rectangular tensors, some V-singular va...

    Authors: Jun He, Yanmin Liu, Guangjun Xu and Gang Liu

    Citation: Journal of Inequalities and Applications 2019 2019:84

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  9. Content type: Research

    The smoothing augmented Lagrange multiplier (SALM) algorithm is a generalization of the augmented Lagrange multiplier algorithm for completing a Toeplitz matrix, which saves computational cost of the singular ...

    Authors: Ruiping Wen, Shuzhen Li and Yonghong Duan

    Citation: Journal of Inequalities and Applications 2019 2019:83

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  10. Content type: Research

    In this paper, we consider the relaxed gradient projection algorithm to solve the split equality problem in Hilbert spaces, and we investigate its linear convergence. In particular, we use the concept of the b...

    Authors: Tingting Tian, Luoyi Shi and Rudong Chen

    Citation: Journal of Inequalities and Applications 2019 2019:80

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  11. Content type: Research

    The goal of this paper is to discuss iteration complexity of two projection type methods for solving generalized complementarity problems and establish their worst-case sub-linear convergence rates measured by...

    Authors: Salahuddin and Meshari Alesemi

    Citation: Journal of Inequalities and Applications 2019 2019:79

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  12. Content type: Research

    In this paper, we first introduce a new algorithm which involves projecting each iteration to solve a split feasibility problem with paramonotone equilibria and using unconstrained convex optimization. The str...

    Authors: Q. L. Dong, X. H. Li, D. Kitkuan, Y. J. Cho and P. Kumam

    Citation: Journal of Inequalities and Applications 2019 2019:77

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  13. Content type: Research

    To construct dual frames with good structure for a given frame is a fundamental problem in the theory of frames. The tensor product duals of tensor product frames can provide a rank-one decomposition of bounde...

    Authors: Ya-Hui Wang and Yun-Zhang Li

    Citation: Journal of Inequalities and Applications 2019 2019:76

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  14. Content type: Research

    In this paper, some new formula of error estimations of Ishikawa iteration and some strong convergence theorems of strongly demicontractive mappings are first obtained. And then, convergence speeds and error e...

    Authors: Chao Wang, Xueli Li and Pengkun Huang

    Citation: Journal of Inequalities and Applications 2019 2019:75

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  15. Content type: Research

    In this paper, we study the approximation problem of solutions for the semistrictly quasi-monotone variational inequalities in infinite-dimensional Hilbert spaces. We prove that the iterative sequence generate...

    Authors: S. S. Chang, Salahuddin, L. Wang and M. Liu

    Citation: Journal of Inequalities and Applications 2019 2019:74

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  16. Content type: Research

    In the article, we provide new bounds for two Sándor–Yang means in terms of the arithmetic and contraharmonic means. Our results are the improvements of the previously known results.

    Authors: Wei-Mao Qian, Hui-Zuo Xu and Yu-Ming Chu

    Citation: Journal of Inequalities and Applications 2019 2019:73

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  17. Content type: Research

    In this paper, a fixed point theorem in a cone and some inequalities of the associated Green’s function are applied to obtain the existence of positive solutions of second-order three-point boundary value prob...

    Authors: Yongfang Wei, Zhanbing Bai and Sujing Sun

    Citation: Journal of Inequalities and Applications 2019 2019:72

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  18. Content type: Research

    In this paper, we define the g-Riesz-dual of a given special operator-valued sequence with respect to g-orthonormal bases for a separable Hilbert space. We demonstrate that the g-R-dual keeps some synchronous ...

    Authors: Liang Li and Pengtong Li

    Citation: Journal of Inequalities and Applications 2019 2019:69

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  19. Content type: Research

    This paper studies the regularity criteria of weak solutions for Bénard fluid flows in three dimensions. When the velocity field and the temperature belong to some critical Besov spaces on ...

    Authors: Liangliang Ma and Lei Zhang

    Citation: Journal of Inequalities and Applications 2019 2019:63

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  20. Content type: Research

    In this work, we introduce certain subclasses of analytic functions involving the integral operators that generalize the class of uniformly starlike, convex, and close-to-convex functions with respect to symme...

    Authors: Shahid Mahmood, Imran Khan, Hari Mohan Srivastava and Sarfraz Nawaz Malik

    Citation: Journal of Inequalities and Applications 2019 2019:59

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  21. Content type: Research

    In the article, we present several majorization theorems for strongly convex functions and give their applications in inequality theory. The given results are the improvement and generalization of the earlier ...

    Authors: Syed Zaheer Ullah, Muhammad Adil Khan and Yu-Ming Chu

    Citation: Journal of Inequalities and Applications 2019 2019:58

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  22. Content type: Research

    In this paper, we investigate the evolution of a strictly convex closed planar curve driven by a hyperbolic normal flow. The asymptotical behavior of the evolving curves has also been shown if the velocity of the...

    Authors: Zhe Zhou, Chuan-Xi Wu and Jing Mao

    Citation: Journal of Inequalities and Applications 2019 2019:52

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  23. Content type: Research

    In the paper, we introduce two concepts of Katugampola conformable partial derivatives and α-conformable integrals. As applications, we establish Opial type inequalities for Katugampola conformable partial deriva...

    Authors: Chang-Jian Zhao and Wing-Sum Cheung

    Citation: Journal of Inequalities and Applications 2019 2019:51

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  24. Content type: Research

    We consider the set of real zero diagonal symmetric matrices whose underlying graph, if not told otherwise, is bipartite. Then we establish relations between the eigenvalues of such matrices and those arising ...

    Authors: Abdullah Alazemi, Milica Anđelić and Slobodan K. Simić

    Citation: Journal of Inequalities and Applications 2019 2019:50

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  25. Content type: Research

    We introduce concepts of interval-valued univex mappings, consider optimization conditions for interval-valued univex functions for the constrained interval-valued minimization problem, and show examples for t...

    Authors: Lifeng Li, Jianke Zhang and Chang Zhou

    Citation: Journal of Inequalities and Applications 2019 2019:49

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  26. Content type: Research

    When a Fourier series is used to approximate a function with a jump discontinuity, the Gibbs phenomenon always exists. This similar phenomenon exists for wavelets expansions. Based on the Gibbs phenomenon of a...

    Authors: Jie Zhou, Hongchan Zheng and Baoxing Zhang

    Citation: Journal of Inequalities and Applications 2019 2019:48

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  27. Content type: Research

    In the present paper, we prove that the probabilities of the Pólya urn distribution (with negative replacement) satisfy a monotonicity property similar to that of the binomial distribution. As a consequence, w...

    Authors: Florenţa Tripşa and Nicolae R. Pascu

    Citation: Journal of Inequalities and Applications 2019 2019:47

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